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Determine the value of b?

  1. Mar 22, 2010 #1
    1. The problem statement, all variables and given/known data
    Determine the value of b so that each limit exists.

    lim (4x^2 + 11x -3) / (x-b)
    x->b


    2. Relevant equations



    3. The attempt at a solution

    I factored it to (4x-1)(x+3) / (x-b) but still not too sure what else to do.
     
  2. jcsd
  3. Mar 22, 2010 #2

    Mark44

    Staff: Mentor

    In order for the limit to exist, the discontinuity caused by dividing by x - b has to be removable. This means that there must also be a factor of x - b in the numerator.
     
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