## anonymous one year ago How do you figure out the limit of sin^2(5x)/(5x^2)

1. freckles

x approaches?

2. anonymous

as x approaches 0, sorry, forgot that!

3. freckles

$\\ \lim_{u \rightarrow 0} \frac{\sin(u)}{u}=1 \\$ --- $\lim_{x \rightarrow 0} \frac{\sin^2(5x)}{5x^2} \\ \lim_{x \rightarrow 0} \frac{\sin(5x) \cdot \sin(5x)}{5x^2} \\ \lim_{x \rightarrow 0} \frac{\sin(5x)}{5x} \cdot \frac{\sin(5x)}{5x} \cdot 5$

4. freckles

could you continue from here?

5. anonymous

yes, thank you!