Limit of sin^2x/x as x approaches o

[katie9426]

I need to find the limit of the trig function:

limit as x approaches o for sin^2x/x

I have no idea where to begin! Thanks for the help!

 

[galactus]

Try this:

\(\displaystyle \L\\\lim_{x\to\0}\frac{sin(x)}{1}\cdot\lim_{x\to\0}\frac{sin(x)}{x}\)

You know what the limit of $\displaystyle \frac{sin(x)}{x}$ is(It's a famous limit)?. The limit of $\displaystyle sin(x)$?.