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Beginners limit problem

  1. Sep 24, 2009 #1
    1. The problem statement, all variables and given/known data
    Lim sqrt(r)/(r-9)4
    r->9

    3. The attempt at a solution

    I haven't been able to get started on this one I first tried to factor the bottom but I don't know how to or if that is even the right way to solve this problem. I am thinking maybe I have to multiply the bottom out but that seems a bit tedious.

    is it sufficient to simply test from the left and right in order to get my answer?
     
    Last edited: Sep 24, 2009
  2. jcsd
  3. Sep 24, 2009 #2

    lanedance

    User Avatar
    Homework Helper

    this limit will be infinite, just by inspection

    the numerator will be 3, whilst the denominator tends to 0

    if you want to show it is unbounded, pick any positive number N, then show you can chose d, such that for |r-9|<d, then F(r) > N

    but in answer to your question it is sufficient to show the limit is the same from the left & right
     
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