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?
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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

anonymous · Answer

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

anonymous · Answer

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