Question

Given $f(x) = \begin{cases} \frac{tan((a+1)x)+tanx\cdot b}{x} & \quad x\lt 0\\\ 3 & \quad x=0\\\ \frac{\sqrt{ax+b^2x^2}-\sqrt{ax}}{\sqrt{a}bx\sqrt{x}} & \quad x\gt 0\end{cases}$ It is a continuous function at x=0, then find $\frac{b}{a}$

Answer 1

The Correct answer is 6.