For what valve of k is the following function f(x) = {kcosx/π-2π , if x ≠ π/2 ; 3, if x = π/2 is continuous at x = π/2

Question

For what valve of k is the following function

\( f(x) = \begin{cases} \frac {kcosx}{\pi-2x}, & \quad \text{if } x≠\frac{\pi}{2} ;\text{}\\ 3, & \quad \text{if }x=\frac{\pi}{2} \text{} \end{cases}\) is continuous at x= \(\frac{\pi}{2}\)

Answer 1

f is continuous at x = \(\frac{\pi}{2}\) 

k = 6