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AP Calculus AB/Unit 1: Limits and Continuity
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Limit Evaluation Using L'Hopital's Rule

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Evaluate the following limit: lim⁡x→0sin⁡(x)−x+1+x−1−x2x2\lim_{x \to 0} \frac{\sin(x) - x + \sqrt{1+x} - 1 - \frac{x}{2}}{x^2}

A

−16-\frac{1}{6}

B

A detailed miscalculation might yield 18\frac{1}{8}.

C

18\frac{1}{8}

D

−18-\frac{1}{8}

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