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

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

Any tips?

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- Nov 16th 2009, 02:32 PMpaupsersHelp with trig limit
Can anyone show me how the limit of $\displaystyle \frac{sin 5x}{x}$ as x goes to 0 equals 5?

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

Any tips? - Nov 16th 2009, 02:37 PMDrexel28