AP Calculus ABmediummcq1 pt

limx01cosxx=\lim_{x\to 0}\dfrac{1-\cos x}{x}=

A.11
B.00
C.12\frac{1}{2}
D.Does not exist

Explanation

Core Concept

The numerator 1cosx1-\cos x vanishes to second order near 00, while the denominator vanishes to first order. So the ratio 1cosxx\frac{1-\cos x}{x} approaches 00.

Correct Answer

B00

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