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AP Calculus BC/Unit 1: Limits and Continuity
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Evaluating an Indeterminate Form Limit

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Evaluate limx2(x2)2x+3+(1x+214)(x2)(x+57)\lim_{x\to 2} \frac{(x-2)\sqrt{2*x+3}+\left(\frac{1}{x+2}-\frac{1}{4}\right)}{(x-2)\left(\sqrt{x+5}-\sqrt{7}\right)}.

A

2+7162+\frac{\sqrt{7}}{16}

B

64+2732\frac{64+2\sqrt{7}}{32}

C

64+716\frac{64+\sqrt{7}}{16}

D

2+7322+\frac{\sqrt{7}}{32}

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