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Convergence
1
Name:
Anonymous
2007-04-28 10:35
ID:uD/wJmeZ
Hay guys, how do I prove convergence of this?
SUM(n=1 to infinity, 1/n * e^(-n^2 * t)) , t>=0
2
Name:
Anonymous
2007-04-28 12:19
ID:Heaven
You can't. t = 0 gives e^(-n^2 * t) = e^(0) = 1. Sum[n=1 to inf](1/n * 1) does not converge.
3
Name:
Anonymous
2007-04-28 12:31
ID:uD/wJmeZ
>>2
Oh okay. What about t>0?
4
Name:
Anonymous
2007-04-28 13:37
ID:Heaven
>>3
Ratio test
5
Name:
Anonymous
2007-04-28 14:30
ID:uD/wJmeZ
>>4
Thank you.
6
Name:
Anonymous
2009-03-18 2:23
Don't call me gay, but I need some mary jay!
Marijuana MUST be legalized.
Don't change these.
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