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Math Help - Find the limit

  1. #1
    Raj
    Raj is offline
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    Sep 2007
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    Find the limit

    f(x) = (x-9)^2(x-3)^3 / sqrt(x-7)

    as x approaches 7+ and 7-

    edit: Just by looking at it i can tell it DNE for 7-, and it goes to infinity for 7+. But is there a way to simplify this or something? Thanks
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  2. #2
    Super Member
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    Do you know how to solve the difference quotient:

    \frac{f(x+h)-f(x)}{h}

    This problem will simplify so that you are able to directly plug in "7" (since the limit from the left and the right is just 7, no need for the plus and minus) and determine the limit.
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