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Math Help - Real Abalysis Limit question example of a function

  1. #1
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    Real Abalysis Limit question example of a function

    Give an example of a function f: (0,1)--> R that has a limit at every point of (0, 1) except 1/2.

    I'm having trouble finding the function.
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    would it be sin(npi)?
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  3. #3
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    Quote Originally Posted by kathrynmath View Post
    Give an example of a function f: (0,1)--> R that has a limit at every point of (0, 1) except 1/2.
    The sine function is continuous everywhere.
    Try \frac {1}{2x-1}
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