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?

Answer 1

if i knew i would tell you

Answer 2

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

Answer 3

@John_ES maybe you can help me again?