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Evaluate limits with radicals

  1. Feb 17, 2013 #1
    1. The problem statement, all variables and given/known data

    Evaluate the limit of each indeterminate quotient:

    lim (x-->4) [2-(x^1/2)]/[3-(2x+1)^1/2]

    2. Relevant equations



    3. The attempt at a solution

    The answer in the book is 3/4. This MAY be wrong though.

    My attempt: I basically tried rationalizing the numerator AND denominator but got stuck here:

    lim (x-->4) [12-3x+(4-x(2x+1)^1/2) ] / [16-4x+(8-2x(x)^1/2)]
     
    Last edited by a moderator: Feb 17, 2013
  2. jcsd
  3. Feb 17, 2013 #2

    Dick

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    Science Advisor
    Homework Helper

    Next factor 4-x out of the numerator and denominator. And be careful. You are missing some parentheses there.
     
  4. Feb 18, 2013 #3
    Thank you!! :)
     
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