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Math Help - limits problem solving help!!!!

  1. #1
    Member
    Joined
    Nov 2008
    Posts
    146

    limits problem solving help!!!!

    Alrighty so i have no idea where to even start...

    Find the constant c such that

    Lim
    x-> 3

    x^2+x+c
    -----------
    X^2 - 5x + 6


    exists

    Yeah so

    so far i got as far as factoring the bottom

    (x-3)(x-2)

    And now i have no idea where to go from there
    any ideas?
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  2. #2
    Member
    Joined
    Dec 2008
    From
    Auckland, New Zealand
    Posts
    189
    You need to get rid of the (x-3) on the bottom for this to work.

    You have \frac{x^2 + x + c}{(x - 3)(x - 2)}

    The only way to keep x^2 + x in the top part is to have the factors (x - 3)(x + 4).

    Which means c = -12.

    You get limit as x tends to 3 of \frac{x+4}{x-2} = 7
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