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Math Help - Continuity problem

  1. #1
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    Continuity problem

    hi all, i'm confused about a continuity problem:

    Given the function f defined by f(x)=(2x-2)/(x^2+x-2)

    a) for what values of x is f(x) discontinuous?

    so I understand that there is a removable discontinuity at x=1, and a nonremovable discontinuity at x=-2

    b) At each point of disconitinuity found in part a, determine whether f(x) has a limit and, if so, give the value of the limit.


    but how do you go about solving B?
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  2. #2
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    Quote Originally Posted by got_jane View Post
    Given the function f defined by f(x)=(2x-2)/(x^2+x-2)
    a) for what values of x is f(x) discontinuous?
    so I understand that there is a removable discontinuity at x=1, and a nonremovable discontinuity at x=-2
    b) At each point of disconitinuity found in part a, determine whether f(x) has a limit and, if so, give the value of the limit.
    Limits exist at a removable discontinuity; but no limit at a unremovable discontinuity.
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