Question

the sum of e^n/(8^n-1) starting from n=1 to infinity.

I know it converges, but what does it converge to?

Answer 1

can we Lhop?

Answer 2

is that 8^(n-1) on the bottom or is it actually 8^n-1?

Answer 3

if it is the first it is a geometric series

Answer 4

and we can easily find the sum it converges to

Answer 5

if we do have 8^n-1 though
I really not sure if we can find the sum it converges to

Answer 6

we can determine if it converges or diverges though

Answer 7

http://www.wolframalpha.com/input/?i=%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D+e%5En%2F%288%5En-1%29+

Answer 8

It's the first! I got 8e/8+e using geo series, but that isn't right.

Answer 9

you should get 8e/(8-e)

http://www.wolframalpha.com/input/?i=%5Csum_%7Bn%3D1%7D%5E%7B%5Cinfty%7D+e%5En%2F%288%5E%28n-1%29%29+