Limit Evaluation with L'Hôpital's Rule
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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