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Trig limit

  • Thread starter math2010
  • Start date
  • #1
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Homework Statement



I want to find the limit:

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


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?
 

Answers and Replies

  • #2
33,508
5,193
Look at the two one-sided limits, and see if they are the same or different.
 
  • #3
19
0
Look at the two one-sided limits, and see if they are the same or different.
What are the two one sided limits? That's what I don't get!
 
  • #4
33,508
5,193
lim x -->0+
lim x -->0-

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

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