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Limits problem solving help

  1. Dec 8, 2008 #1
    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?
     
  2. jcsd
  3. Dec 8, 2008 #2
    Re: limits problem solving help!!!!

    As x-->3, the denominator tends to zero, so for the limit to have the slightest chance to exist, the numerator must approach zero as well. For which value of c does it do so?
     
  4. Dec 8, 2008 #3

    lurflurf

    User Avatar
    Homework Helper

    Re: limits problem solving help!!!!

    require
    (x-3)|(x^2+x+c)
    that is find and "a" such that
    (x-3)(x+a)=(x^2+x+c)
    then set c=-3a
     
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