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Why does this series converge by the integral test? Problem inside.
 one year ago
 one year ago
Why does this series converge by the integral test? Problem inside.
 one year ago
 one year ago

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sevenshadedBest ResponseYou've already chosen the best response.0
\[\sum_{n=0}^{\infty}n e ^{n ^{2}}\]
 one year ago

sevenshadedBest ResponseYou've already chosen the best response.0
I keep getting a final answer of \[(1/2) e^{b ^{2}} + 1/2 e^{0^{2}}\]where b is going to infinity. I would think that would come out to infinity plus 1/2, which would be infinity and cause the whole thing to diverge. However, according to problem (d) on this study sheet I found, the answer converges. Something is wrong with my algebra. Help please? http://www.hillsdalesites.org/personal/dmurphy/Kclasses/math113/review2solns.pdf Actually, I think I just solved my own problem. Would it be 0 + 1/2 because the \[^{b ^{2}} \] moves e to the denominator and thus makes that part go to zero?
 one year ago
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