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## Homework Statement

I believe this problem diverges.

n_infinity ne^-n^2

heres the same equation: http://img100.imageshack.us/img100/6122/untitledig5.png [Broken]

## Homework Equations

## The Attempt at a Solution

upon pluggin in the n's as a sequence of numbers. it looks as it continues on without bound, so it would diverge, correct?

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also, for another problem...

does this converge or diverge: 1 +1/8 + 2/27 + 2/64 + 1/125 + ...

I first want to say that diverges because it continues on to infinity without bound.

however, could i say instead that it converges to 0?

i need an explanation for this one. Thankyou for any here.

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