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AP Calculus BC/Unit 1: Limits and Continuity
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Special Trigonometric Limit

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Which of the following is true about the limit lim⁡x→0 1−cos⁡(x)x2\lim_{x\to0}\ \frac{1-\cos(x)}{x^2}?

A

The limit does not exist because the numerator oscillates.

B

The limit equals 11.

C

The limit equals 14\frac{1}{4}.

D

The limit equals 00.

E

The limit exists and equals 12\frac{1}{2}.

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