If a function f defined by f(x) = {kcosx/(π-2x), if x ≠ π/2 3, if x = π/2is continuous at x = π/2, then the value of k is :

Question

If a function f defined by

f(x) = \(\begin{cases} \frac{k\,cosx}{\pi-2x}& ,if\,x≠\frac{\pi}{2}\\ 3 &, if\,x=\frac{\pi}{2}\end{cases}\) 

is continuous at x = π/2, then the value of k is :

{kcosx/(π-2x), if x ≠ π/2 3, if x = π/2

(a) 2

(b) 3

(c) 6

(d) -6

Answer 1

Option : (c) 6