Question

Consider the sequence of function

fn(x)=(1+e^(n*(x-1)))/(1+e^(-n*(x+1))) n=1,2,...

defined on R.

Determine the largest possible range of R in which the sequence is pointwise convergent, and set limit function.

Can someone help me?
calculator is not allow

Answer 1

\[f_{n}=\frac{ 1+e^{n(x-1)} }{ 1+e^{-n(x+1)}}\]

Answer 2

Can someone help me? :)