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

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

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?

amistre64 · Answer

can we Lhop?

freckles · Answer

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

freckles · Answer

if it is the first it is a geometric series

freckles · Answer

and we can easily find the sum it converges to

freckles · Answer

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

freckles · Answer

we can determine if it converges or diverges though

mathmath333 · Answer

anonymous · Answer

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

ganeshie8 · Answer