[" Let "f(x)={[(k cos x)/(pi-2x),x!=(pi)/(2)],[3,quad x=(pi)/(2)]],[" If "lim_(x rarr(pi)/(2))f(x)=f((pi)/(2))" ,find the value of k."]

Let f(x)={:{((kcosx)/(pi-2x)',xne(pi)/(2)),(3",",x=(pi)/(2).):} If lim_(xrarr(pi)/(2))f(x)=f((pi)/(2)), find the value of k.

Let f(x)={:{((kcosx)/(pi-2x)',xne(pi)/(2)),(3",",x=(pi)/(2).):} If lim_(xto(pi)/(2))f(x)=f((pi)/(2)), find the value of k.

Lim_(x rarr(pi)/(2))(cos x)^(((pi)/(2)-x))

Lim_(x rarr pi/2)(cos x)/((pi)/(2)-x)

f(x),={(k cos x)/(pi-2x),quad if x!=(pi)/(2) and 3,quad if x=(pi)/(2) at x,=(pi)/(2)

lim_ (x rarr (pi) / (2)) (cos x) / (x- (pi) / (2))

lim_ (x rarr (pi) / (2)) (cos x) / (x- (pi) / (2))

lim_ (x rarr (pi) / (2)) [(x- (pi) / (2)) / (cos x)]

Let f(x)=(k cos x)/(pi-2x) if x!=(pi)/(2) and f(x=(pi)/(2)) if x=(pi)/(2) then find the value of k if lim_(x rarr(pi)/(2))f(x)=f((pi)/(2))