`f(x)=[(sin x+sin5x)/(cos x+cos5x)\ \ if\ x!=-pi/4,k\ if\ x=-pi/4 is continuous. k = ?`

If {:(f(x),=(cos x - sin x)/(cos 2x),",", x != (pi)/4),(,=k, ",", x = (pi)/4):} is continous at x = (pi)/4 , then the value of k is

If {:(f(x),=(cos x - sin x)/(cos 2x),",", x != (pi)/4),(,=k, ",", x = (pi)/4):} is continous at x = (pi)/4 , then the value of k is

f(x) = {((sin 2x)^(tan^(2)2x), x ne pi/4),(k, x = pi/4):} . If f(x) is continuous at x = pi/4 , then k =

f(x)={(sin(cos x)-cos x)/((pi-2x)^(3)),quad if x+-(pi)/(2) and k,quad if x=(pi)/(2) is continuous at x=(pi)/(2), then k

If f(x)={{:((3sin pi x)/(5x)", "x !=0),(2K" , " x=0):} is continuous at x=0 , then the value of K is

f(x) ={{:((1-sqrt(2)sin x)/(pi -4x),"if "x ne (pi)/(4)),("k","if "x=(pi)/(4)):} continous at x=(pi)/(4) , then K=

The function f(x) =(1-sin x+cos x)/(1+sin x+cos x) is defined at x=pi. if f(pi)= k+1, then the value of k for which, lim _(x to pi) f(x) =f(pi) is-

If f(x)={((3 sin pi x)/(5x)"," , xne 0),(2k",", x =0):} is continuous at x = 0, then the value of k is equal to

int_(0)^(pi) sin^(4) x cos^(5) x dx

If f(x) is continuous at x= pi/4 , where f(x)=(cos x- sin x)/(cos 2x) , for x!= pi/4 , then f(pi/4)=