Find the pointwise limit of the sequence of functions
Shouldn't this belong to Analysis and Topology?
Anyway, since
$\displaystyle f_n(x) = \dfrac{1}{((x^2+1)+\dfrac{1}{n})^n}$
The denominator approaches infinity as n approaches infinity except when $\displaystyle x=0$, in which case the denominator converges to $\displaystyle e$