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Limit Evaluation with L'Hôpital's Rule

Mark

Evaluate the limit: $\lim_{x\to 0} \frac{\sqrt{1+3x} - \cos(x)+ \sum_{n=1}^{2} \frac{\sin(nx)}{n}}{x}$

A

$\frac{7}{2}$

B

$\frac{3}{2}$

C

$\frac{7}{3}$

D

$\frac{5}{2}$

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