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Math Help - [SOLVED] Points of discontinuity

  1. #1
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    [SOLVED] Points of discontinuity

    Hi everyone.
    I've been having problem with the one function
    h(x)=(x^3-1)/(x^3-x)

    I need to find all points of discontinuity.
    Thx for any help
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  2. #2
    Rhymes with Orange Chris L T521's Avatar
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    Quote Originally Posted by Snowboarder View Post
    Hi everyone.
    I've been having problem with the one function
    h(x)=(x^3-1)/(x^3-x)

    I need to find all points of discontinuity.
    Thx for any help
    Did you try to factor it?

    h(x)=\frac{x^3-1}{x^3-x}=\frac{x^3-1}{x(x^2-1)}=\frac{(x-1)(x^2+x+1)}{x(x+1)(x-1)}

    Can you take it from here? It should be no problem now.

    --Chris
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  3. #3
    Senior Member nikhil's Avatar
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    Quote Originally Posted by Snowboarder View Post
    Hi everyone.
    I've been having problem with the one function
    h(x)=(x^3-1)/(x^3-x)

    I need to find all points of discontinuity.
    Thx for any help
    Points of discontinuity are
    at x=0,1,-1 as function's value is undefined at these points
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