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Math Help - find the limits of this

  1. #1
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    find the limits of this

    lim [(3x^2 + 3x - 18) / (x - 2)] when x ---> 2

    I've got [(3x +6)(x - 3)] / (x - 2) but not sure what to do from here.
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  2. #2
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    Hi brumby_3

    Just substitute x = 2 to the limit
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  3. #3
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    Quote Originally Posted by brumby_3 View Post
    lim [(3x^2 + 3x - 18) / (x - 2)] when x ---> 2

    I've got [(3x +6)(x - 3)] / (x - 2) but not sure what to do from here.
    Your factorisation of the numerator is wrong. You should have checked it by expanding. Fix it.

    Then cancel the factor common to numerator and denominator. Then substitute x = 2.
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