Find the pointwise limit of the sequence of functions

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- May 9th 2009, 03:58 AMmatty888Pointwise Limit Please Help!!
Find the pointwise limit of the sequence of functions

http://image.cramster.com/answer-boa...2500002401.gif - May 9th 2009, 08:33 PMcl85
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 $\displaystyle e$