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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:46:34
|
so it doesnt have to converge to 0
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:46:45
|
well look just because it has that (-1)^n+1 term doesnt make it alternating
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:46:57
|
the 2^n drags it up enough
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:47:08
|
Okay, but how do i know if (-1)^inf is 1 or -1?
| 1 | 0 | null | null | null | null | null |
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help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:47:20
|
its not going to matter for large n
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:47:28
|
Since 2^n grows much faster?
| 1 | 0 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:47:31
|
yea
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:47:36
|
a million plus or minus one
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:47:40
|
i mean were still in handwavey land
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:47:45
|
actually dealing with it analytically is another thing
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:47:46
|
So essentially for large n i have (2^n)^1/n ?
| 1 | 0 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:47:50
|
but just in figuring out what to show here
| 0 | 1 | 174,602,502,975,651,840 |
Calzs
|
3486
|
Calzs
| false |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:47:56
|
well
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:48:18
|
$( \frac{ 2^n }{ n } ) ^{\sfrac{1}{n}}$
| 0 | 1 | 261,933,205,387,477,000 |
riemann
|
2529
|
riemann
| false |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 510,789,298,321,096,700 |
TeXit
|
12/23/2021 08:48:21
|
**jan Niku**
|
331558346333224964.png
| 0 | 1 | null | null | null | null | null |
||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:48:42
|
I mean that n doesn't matter too, right? The same reason why (-1) doesn't matter
| 1 | 0 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:48:48
|
2^n grows much faster than n i think
| 1 | 0 | 484,702,191,156,985,860 |
themateo713
|
5303
|
mateo713
| false |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:48:59
|
well it becomes $\frac{2}{\sqrt[n]{n}}$
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 510,789,298,321,096,700 |
TeXit
|
12/23/2021 08:49:02
|
**jan Niku**
|
331558346333224964.png
| 0 | 1 | null | null | null | null | null |
||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:49:19
|
,w graph 2/( xth root x)
| 0 | 1 | 174,602,502,975,651,840 |
Calzs
|
3486
|
Calzs
| false |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 510,789,298,321,096,700 |
TeXit
|
12/23/2021 08:49:25
|
Results provided by WolframAlpha
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:49:28
|
:sully:
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:50:09
|
I am not sure why you didn't remove that / n since it grows much slower than 2^n. I always thought exponential grows much faster than polynomial
| 1 | 0 | 174,602,502,975,651,840 |
Calzs
|
3486
|
Calzs
| false |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:50:19
|
dont remove it
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:50:21
|
And that we would have (2^n)^1/n then which would be 1
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:50:22
|
use exponent rules
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:50:27
|
were already one step into hand wavey
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:50:34
|
everything we remove we have to go back and show is insignificant
| 0 | 1 | 706,934,233,012,371,600 |
Ansh_
|
3502
|
Arya
| false |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:50:39
|
once we figure out what result we want to show
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 183,668,144,404,037,630 |
Ann
|
12/23/2021 08:50:46
|
2
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:50:47
|
anyways the limit doesnt look like 1
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:50:48
|
i think its 2
| 0 | 1 | 174,602,502,975,651,840 |
Calzs
|
3486
|
Calzs
| false |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:52:01
|
Oh, its actually not inf^0 but rather 2^(n*1/n) which would be 2^1 = 2.
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:52:08
|
👀
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:52:10
|
So both ways work
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:52:21
|
im not sure how you get that
| 0 | 1 | null | null | null | null | null |
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205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:52:44
|
Well by removing the /n because i think its insignificant 😄
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:52:50
|
its not
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:53:09
|
i mean idk im a dumbie right but to me
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:53:18
|
you dont usually remove pieces that have n in them
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:53:25
|
I don't understand how it isn't insignificant. I mean even if you leave it we would also get 2 at the end right?
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:53:27
|
because the interaction of pieces with n determine the growth of this thing
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:53:48
|
you want them as simple as possible before you 'remove' them because then you can clearly reason to yourself why they are insignificant
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:53:57
|
but i am also dumb :thonk:
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:54:03
|
Well, my reasoning was that 2^n grows much faster than n
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:54:04
|
i would go this way
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:54:10
|
sure
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:54:14
|
It was clear enough for me, but if its wrong i won't remove it
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:54:16
|
but look how complicated that interaction is
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:54:30
|
idk its up to you i guess im being a stickler i dont understand your reasoning but im also tired
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:54:40
|
i feel like this is much clearer
|
331558346333224964.png
| 0 | 1 | null | null | null | null | null |
||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:54:58
|
since then all that remains is to convince yourself that the limit of nth root of n is 1
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:55:06
|
but either way
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:55:12
|
now that you believe the limit is 2
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:55:17
|
all thats left to do is go back and show it
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:55:21
|
if thats part of the exercise at least
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:55:47
|
It's not a part of it
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:55:51
|
oh
| 0 | 1 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:55:53
|
:hype:
| 0 | 1 | 935,213,814,117,441,700 |
icebear
|
2028
|
icebear
| false |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:55:59
|
I just needed to see what that converges to
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:56:12
|
So i could finally calculate my R 🙂
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:56:24
|
Thank you so much man!
| 1 | 0 | null | null | null | null | null |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 331,558,346,333,224,960 |
jan Niku
|
12/23/2021 08:56:26
|
np
| 0 | 1 | 935,213,814,117,441,700 |
icebear
|
2028
|
icebear
| false |
|||||
205,720 |
help-1
|
b1ff0db61ea64ab092075179366b4182
| 214,305,946,090,995,700 |
Dzoni
|
12/23/2021 08:56:33
|
.close
| 1 | 0 | null | null | null | null | null |
|||||
205,721 |
help-1
|
918a1813fd1b4c1197f831ca8e316c4b
| 485,903,210,272,391,200 |
dldh06
|
01/28/2022 22:57:22
|
Not a bad deal on yogurt
| 1 | 0 | 863,220,109,731,168,300 |
Handsome Bro
|
8940
|
Handsome Bro
| false |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:31:57
|
how to prove that this improper integral converges?
|
2022-01-29_10.png
| 1 | 0 | 863,220,109,731,168,300 |
Handsome Bro
|
8940
|
Handsome Bro
| false |
||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:32:27
|
i tried using the comparison test but im not sure what functions i should use
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 356,908,116,429,897,700 |
Kaynex
|
01/28/2022 23:34:10
|
It's definitely smaller than 9x/(x²)⁴
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:35:14
|
but how to prove that it converges
| 1 | 0 | 935,213,814,117,441,700 |
icebear
|
2028
|
icebear
| false |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 328,662,734,008,746,000 |
Geopchad
|
01/28/2022 23:36:57
|
the function that kaynex gives you converges--and if the integral is SMALLER than that, then it also converges
| 0 | 1 | 510,789,298,321,096,700 |
TeXit
|
0796
|
TeXit
| true |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 356,908,116,429,897,700 |
Kaynex
|
01/28/2022 23:36:57
|
What does it mean for an integral to converge?
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:37:56
|
doesnt \int _{0}^{\infty }\dfrac{9x}{\left( x^{2}\right) ^{4}}dx diverge?
| 1 | 0 | 482,756,098,592,604,160 |
I smell like parchment
|
8344
|
I smell like parchment
| false |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:37:59
|
$\int _{0}^{\infty }\dfrac{9x}{\left( x^{2}\right) ^{4}}dx$
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 510,789,298,321,096,700 |
TeXit
|
01/28/2022 23:38:03
|
**Random guy**
|
673062964059701258.png
| 0 | 1 | null | null | null | null | null |
||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 328,662,734,008,746,000 |
Geopchad
|
01/28/2022 23:38:56
|
no?
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 328,662,734,008,746,000 |
Geopchad
|
01/28/2022 23:38:59
|
oh wait
| 0 | 1 | 482,756,098,592,604,160 |
I smell like parchment
|
8344
|
I smell like parchment
| false |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 356,908,116,429,897,700 |
Kaynex
|
01/28/2022 23:39:08
|
Oh kek
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 761,155,030,513,352,700 |
Bungo
|
01/28/2022 23:39:11
|
It diverges due to the asymptote at the origin being too "thick"
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 328,662,734,008,746,000 |
Geopchad
|
01/28/2022 23:39:14
|
yeah it does lmao
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 761,155,030,513,352,700 |
Bungo
|
01/28/2022 23:39:25
|
The tail behavior at infinity is OK though
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:39:40
|
:bleakkekw:
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 356,908,116,429,897,700 |
Kaynex
|
01/28/2022 23:39:42
|
It converges into infinity, which is what we want to capture
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:40:06
|
then what function shall i consider
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 356,908,116,429,897,700 |
Kaynex
|
01/28/2022 23:40:08
|
Ignore the 0 part it never mattered anyway
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:40:29
|
bruh
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 356,908,116,429,897,700 |
Kaynex
|
01/28/2022 23:40:36
|
bruh
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 328,662,734,008,746,000 |
Geopchad
|
01/28/2022 23:42:04
|
are you allowed to just
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 328,662,734,008,746,000 |
Geopchad
|
01/28/2022 23:42:05
|
find it?
| 0 | 1 | 456,226,577,798,135,800 |
Deleted User
|
0000
|
Deleted User
| false |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 328,662,734,008,746,000 |
Geopchad
|
01/28/2022 23:42:10
|
and show that the limit goes to infinity
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:42:33
|
im pretty sure this limit converges
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:42:49
|
i mean integral
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:42:51
|
lol
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 761,155,030,513,352,700 |
Bungo
|
01/28/2022 23:43:32
|
The denominator satisfies $(x^2 + 4)^4 \geq 4^4$, so the integrand is less than $9x / 4^4$, which you can use as a comparison function on, say, the interval $[0,1]$.
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 510,789,298,321,096,700 |
TeXit
|
01/28/2022 23:43:35
|
**OurBelovedBungo**
|
761155030513352705.png
| 0 | 1 | null | null | null | null | null |
||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:44:06
|
oh
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:44:07
|
i see
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 761,155,030,513,352,700 |
Bungo
|
01/28/2022 23:44:59
|
Then on $[1,\infty)$ use the fact that the denominator also satisfies $(x^2 + 4)^4 \geq x^8$, so the function is also bounded by $9x / x^8$, which is integrable on $[1,\infty)$.
| 0 | 1 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 510,789,298,321,096,700 |
TeXit
|
01/28/2022 23:45:03
|
**OurBelovedBungo**
|
761155030513352705.png
| 0 | 1 | null | null | null | null | null |
||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:45:28
|
thanks for your help
| 1 | 0 | null | null | null | null | null |
|||||
205,722 |
help-1
|
e4ea2888718446c69540ee50f21127b3
| 673,062,964,059,701,200 |
Random guy
|
01/28/2022 23:45:52
|
i think i understand now
| 1 | 0 | null | null | null | null | null |
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