Mathematics - Limits Question with Solution | TestHub

If

$$f(x)=\{\begin{array}{ll}\frac{1-{\sin }^{3}x}{3{\cos }^{2}x}& x<\frac{\pi }{2}\\ a& x=\frac{\pi }{2}\\ \frac{b(1-\sin x)}{(\pi -2x{)}^2}& x>\frac{\pi }{2}\end{array}$$

If $f(x)$ is continuous at $x=\frac{\pi }{2}$, then $b-a=?$