Question

Help please.

Answer 1

let f be the function on R defined by: f(x)=\[\sum_{0}^{\infty}1\div(2^{n}+x)\]
1/Determine the limit of f at \[+\infty\].
2/Give an equivalent of f at \[+\infty\].

Answer 2

I did the first question, but I'm stuck on the second.

Answer 3

The equation will expand to


I really dont know how to find the sum to infinity. Also its equivalent may be something like
\[e^{x}\]. Tell me if u get the correct explanation.