# Thread:

1. ## Help with trig limit

Can anyone show me how the limit of $\frac{sin 5x}{x}$ as x goes to 0 equals 5?

I'm only supposed to use the fact that $\frac{sin x}{x}$ goes to 1 as x goes to 0.

Any tips?

2. Originally Posted by paupsers
Can anyone show me how the limit of $\frac{sin 5x}{x}$ as x goes to 0 equals 5?

I'm only supposed to use the fact that $\frac{sin x}{x}$ goes to 1 as x goes to 0.

Any tips?
If we let $z=5x$ then our limit becomes $\lim_{z\to0}\frac{\sin(z)}{\tfrac{z}{5}}$........so
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