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AP Calculus AB/Unit 1: Limits and Continuity
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Trigonometric Limit at Zero
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Solve the equation: $$\lim_{x\to0}\frac{1-\cos(4*x)}{x^2}$$.

A

$$8$$

B

$$4$$

C

The limit is infinite due to division by zero if the small-angle approximation is not applied, but correctly using the Taylor expansion shows a finite result.

D

$$16$$

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