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

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Solve the equation: limx0cos(x)1x\lim_{x\to0}\frac{\cos(x)-1}{x}.

A

00

B

11

C

The limit does not exist because the cosine function oscillates near 0, which is not the case upon proper analysis.

D

1-1

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