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Math Help - discontinuity of function

  1. #1
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    discontinuity of function

    points of discontinuity for the function


    f(x) = x + [x] (bracket function)
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Analyze the cases a\in \mathbb{Z} and a\not\in \mathbb{Z} .
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  3. #3
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    As per your guidance f(x) is discont as x belongs to Z but how we analyze for x doesnot belong to Z
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  4. #4
    MHF Contributor FernandoRevilla's Avatar
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    Suppose a\in(n,n+1) with n\in\mathbb{Z} then, in a neighborhood V(a) of a we have f(x)=x+\lfloor x \rfloor=x+n .
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