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.

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) ={{:((1-sin x)/(pi-2x)",","when" x ne (pi)/(2)),(lamda ",","when" x-(pi)/(2)):} If lim _(x to (pi)/(2))f(x)=f ((pi)/(2)), then the value of lamda is-

f(x) = {{:((k cosx )/((pi - 2x)"," if x ne (pi)/(2))),(3"," if x = (pi)/(2)):} at x = (pi)/(2) .

Evaluate lim_(xto(pi)/(2))(cotx)/((pi)/(2)-x)

f(x) = {{:((k cos x)/(pi - 2x) "if" , x ne (pi)/(2)),( 3, "if" x=(pi)/(2)):} at x= pi/2 , f (x) is containuous , find the value of k .

If f(x)={{:((1-sinx)/(pi-2x),,","xne(pi)/(2)),(lambda,,","x=(pi)/(2)):},"be continuous at "x=(pi)/(2), then value of lambda is

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

For what value of k, function f(x)={((k cosx)/(pi-2x)",","if "x ne (pi)/(2)),(3",", "if " x =(pi)/(2)):} is continuous at x=(pi)/(2) then k?

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))

f(x)= {{:((1-sinx)/(pi-2x)","xne(pi)/(2)),(lambda ","" "x=(pi)/(2)):} If f(x) is continious of x= (pi)/(2) then lambda =…………….