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I'm having difficulty determining where this sequence of functions $\displaystyle f(n,x)=\frac{x^n}{(1+x^n)}$ converges, and whether it converges uniformly.

Thanks.

  • 3
    Why don't you rewrite it as $f_n(x) = 1/(1/x^n + 1)$. Does that seem to help?2012-02-15
  • 2
    What have you tried so far? And do you want uniform convergence on the whole real line? Or perhaps on $[0,1]$ or $(1,\infty)$?2012-02-15
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    @belmont Any feedback on the answers??2012-02-27

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