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Math Help - [SOLVED] Uniform Convergence 2

  1. #1
    is up to his old tricks again! Jhevon's Avatar
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    [SOLVED] Uniform Convergence 2

    Here's the definition I'm using for uniform convergence:
    Attached Thumbnails Attached Thumbnails [SOLVED] Uniform Convergence 2-uniconvergedef.gif  
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Please check my work:
    Attached Thumbnails Attached Thumbnails [SOLVED] Uniform Convergence 2-uniconv2.gif  
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  3. #3
    is up to his old tricks again! Jhevon's Avatar
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    Please check this one also:
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  4. #4
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    Here is first one.

    The second one is easier.
    There is a theorem that the uniform limit of continous functions is continous.
    This limit function is not continous.
    A contradiction (since all functions in the sequence are continous themselves).
    Attached Thumbnails Attached Thumbnails [SOLVED] Uniform Convergence 2-picture28.gif  
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