APFIVE Limit Evaluation Using L'Hopital's Rule
Evaluate the following limit: $$\lim_{x \to 0} \frac{\sin(x) - x + \sqrt{1+x} - 1 - \frac{x}{2}}{x^2}$$
A
$$-\frac{1}{8}$$
B
$$\frac{1}{8}$$
C
A detailed miscalculation might yield $$\frac{1}{8}$$.
D
$$-\frac{1}{6}$$
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