
I want to know if this function is unif.conv. or not...
Actually it is one of the my mid-exem problems.
I got zero score for it....
What did I wrong in this problem?
and What is the easiest way to see whether it is unif.conv. or not?

I want to know if this function is unif.conv. or not...
Actually it is one of the my mid-exem problems.
I got zero score for it....
What did I wrong in this problem?
and What is the easiest way to see whether it is unif.conv. or not?
Evaluate $|f_n(x)-f(x)|$ at $x_n:=1-1/n$. You should get $|1+(1-1/n)^n-(1-1/n)^2|$. This has limit $e^{-1}\neq0$.