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Math Help - At what points is f(x)=floor(1/x) continuous?

  1. #1
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    At what points is f(x)=floor(1/x) continuous?

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  2. #2
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    Re: At what points is f(x)=floor(1/x) continuous?

    Have you tried drawing a graph? Draw the graph of 1/x and move each point down to the nearest integer y-coordinate.
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  3. #3
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    Re: At what points is f(x)=floor(1/x) continuous?

    For x>0 it is continuous on \left[ {\bigcup\limits_{n = 1}^\infty  {\left( {\frac{1}{{n + 1}},\frac{1}{n}} \right)} } \right]\bigcup {\left( {1,\infty } \right)}

    Where else?
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