Mathematics - Continuity - Differentiability Question with Solution | TestHub

The value of $p$ and $q$ for which the function $f(x)=\{\begin{array}{cl}\frac{\sin (p+1)x+\sin x}{x}& x<0\\ q& ,x=0\\ \frac{\sqrt{x+x^2}-\sqrt{x}}{x^{3/2}}& ,x>0\end{array}$ is continuous for all $\mathrm{x}$ in $\mathrm{R}$, is