The values of $$p$$ and $$q$$ for which the function $$$f(x) = \begin{cases} \dfrac{\sin(p+1)x + \sin x}{x}, & x < 0 \\ q, & x = 0 \\ \dfrac{\sqrt{x + x^2} - \sqrt{x}}{x^{3/2}}, & x > 0 \end{cases}$$$ is continuous for all $$x$$ in $$\mathbb{R}$$, is:

A

$$p = \dfrac{5}{2}, q = \dfrac{1}{2}$$

B

$$p = -\dfrac{3}{2}, q = \dfrac{1}{2}$$

C

$$p = \dfrac{1}{2}, q = \dfrac{3}{2}$$

D

$$p = \dfrac{1}{2}, q = -\dfrac{3}{2}$$