# Pointwise Limit Please Help!!

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• May 9th 2009, 03:58 AM
matty888
Pointwise 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 PM
cl85
Shouldn't this belong to Analysis and Topology?

Anyway, since
$f_n(x) = \dfrac{1}{((x^2+1)+\dfrac{1}{n})^n}$
The denominator approaches infinity as n approaches infinity except when $x=0$, in which case the denominator converges to $e$