Question
If the function $f(x)=\left\{\begin{array}{cc}\frac{k \cos x}{\pi-2 x} & , x \neq \frac{\pi}{2} \\ 5 & , x=\frac{\pi}{2}\end{array}, \quad\right.$ is continuous at $x=\frac{\pi}{2}$, then find the value of $k$.

Answer

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