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Math Help - Is the function continuous?

  1. #1
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    Question Is the function continuous?

    Hello,
    If f(x)={x, if x is an integer
    {10-x, if x is a real number is not an

    Find wheather f is continuous at x=5.
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  2. #2
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    Quote Originally Posted by harshal54321 View Post
    Hello,
    If f(x)={x, if x is an integer
    {10-x, if x is a real number is not an

    Find wheather f is continuous at x=5.
    In a neighbourhood of x=5 f(x)=10-x, and f(5)=5 which is equal to the limit of
    f(x) as x approaches 5, so the function is continuous at x=5.

    RonL
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