Homework Help: Trig limit

1. Mar 9, 2010

math2010

1. The problem statement, all variables and given/known data

I want to find the limit:

$$\lim_{x\to 0}\frac{sin|x|}{x}$$

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 $$\lim_{x\to 0}\frac{sinx}{x}=1$$ but apparently it's a very different situation. Can anyone show me how to find this limit?

2. Mar 9, 2010

Staff: Mentor

Look at the two one-sided limits, and see if they are the same or different.

3. Mar 9, 2010

math2010

What are the two one sided limits? That's what I don't get!

4. Mar 9, 2010

Staff: Mentor

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

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