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Math Help - Uniform Convergence of a function

  1. #1
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    Uniform Convergence of a function

    For n \in \mathbb{N}, let f_{n}:\mathbb{R} \to \mathbb{R} be defined as f_{n}(x)= \frac{x}{\log{(1+n+x^{2})}}. Then does (f_n) converge uniformly.
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  2. #2
    Senior Member Shanks's Avatar
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    No,its pointwise limit is 0,but it does not converges uniformly.
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