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Convergence

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

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.

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