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AP Calculus AB/Unit 1: Limits and Continuity
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Evaluating a Trigonometric Limit

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Evaluate the limit: $$\lim_{x \to 0} \frac{\sin(4x)}{\tan(2x)}$$

A

$$2$$

B

$$1$$

C

$$\frac{\sin(4*x)}{\tan(2*x)}$$

D

By expressing $$\tan(2*x)$$ as $$\frac{\sin(2*x)}{\cos(2*x)}$$ and simplifying with the double-angle identity, the limit evaluates to 2.

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