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Thread: give an example of this claim

  1. October 19th 2008, 11:33 AM #1
    szpengchao
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    give an example of this claim

    f_{n} converges uniformly to f

    g_{n} converges uniformly to g

    show that pointwise product g_{n}f_{n} does not converge uniformly to gf
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  2. October 19th 2008, 12:30 PM #2
    batman
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    fn=gn=x+1/n should work I think
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  3. October 19th 2008, 12:44 PM #3
    szpengchao
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    no

    i dont think it works, if u try to draw its graph, it converges to fg!
    Last edited by szpengchao; October 19th 2008 at 12:58 PM.
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  4. October 19th 2008, 01:20 PM #4
    batman
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    yes, pointwise... not uniformly.
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