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Trig limit

  1. Mar 9, 2010 #1
    1. The problem statement, all variables and given/known data

    I want to find the limit:

    [tex]\lim_{x\to 0}\frac{sin|x|}{x}[/tex]

    3. The attempt at a solution

    I know that the answer must be "limit doesn't exist" but I don't know how to arrive at that answer. I know that [tex]\lim_{x\to 0}\frac{sinx}{x}=1[/tex] but apparently it's a very different situation. Can anyone show me how to find this limit?
  2. jcsd
  3. Mar 9, 2010 #2


    Staff: Mentor

    Look at the two one-sided limits, and see if they are the same or different.
  4. Mar 9, 2010 #3
    What are the two one sided limits? That's what I don't get!
  5. Mar 9, 2010 #4


    Staff: Mentor

    lim x -->0+
    lim x -->0-

    For the first, |x| = x
    For the second, |x| = -x
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