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AP Calculus AB/Unit 1: Limits and Continuity
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Limit with an Absolute Value Function

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What is the value of lim⁡x→2∣x−2∣x2−4\displaystyle\lim\limits_{x \to 2} \frac{|x - 2|}{x^2 - 4}?

A

nonexistent\text{nonexistent}

B

14\frac{1}{4}

C

00

D

−14-\frac{1}{4}

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