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Math Help - pointwise convergence

  1. #1
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    pointwise convergence

    Hi can some please help, show that the squence of fuctions pointwise converge to a fuction.

    pointwise convergence-untitled.jpg


    Thanks you
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  2. #2
    Behold, the power of SARDINES!
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    0\le f_n(x) \le \frac{1}{nx+1} for x \ne 0

    and

    f_n(0)=0 for all n

    does this help?
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  3. #3
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    thanks for the help, i understand this, but find it diffecult to find an epsilon.
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  4. #4
    MHF Contributor Also sprach Zarathustra's Avatar
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    Quote Originally Posted by 1234567 View Post
    thanks for the help, i understand this, but find it diffecult to find an epsilon.
    Squeeze theorem - Wikipedia, the free encyclopedia

    BTW: that function is also have uniform convergence...
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