`f(x)={(2xtanx-pi/(cosx) ,, x!=pi/2),(k ,, x=pi/2):} i s \ c o n t i n u o u s \ a t \ x=pi/2,` then find the value of `k`.

If f(x)={((sin(cosx)-cosx)/((pi-2x)^2) ,, x!=pi/2),(k ,, x=pi/2):} is continuous at x=pi/2, then k is equal to

If f(x)={{:(tan((pi)/(4)-x)/(cot2x)",",x ne(pi)/(4)),(k",",x=(pi)/(4)):} is continuous at x=(pi)/(4) , then the value of k is

Show that f(x)={((sin3x)/(tan2x) ,, if x 0):} \ is \ c o n t i n u o u s \ a t \ x=0

L e t f(x)=(1-tanx)/(4x-pi),x!=pi/4,x in [0,pi/2], If f(x)i s continuous in [0,pi/4], then find the value of f(pi/4)dot

L e t f(x)=(1-tanx)/(4x-pi),x!=pi/4,x in [0,pi/2], If f(x)i s continuous in [0,pi/4], then find the value of f(pi/4)dot

Let f(0,pi) to R be defined as f(x)={{:(,(1-sinx)/((pi-2x)^(2)).(In sin x)/((In(1+pi^(2)-4pix+4x^(2)))),x ne (pi)/(2)),(,k,x=(pi)/(2)):} If a continuous at x=(pi)/(2) , then the value of 8sqrt|k|,is

Let f(x) = {{:(-2 sin x,"for",-pi le x le - (pi)/(2)),(a sin x + b,"for",-(pi)/(2) lt x lt (pi)/(2)),(cos x,"for",(pi)/(2) le x le pi):} . If f is continuous on [-pi, pi) , then find the values of a and b .

If f(x)={m x+1,xlt=pi/2sinx+n ,x >pi/2 is continuous at x=pi/2, then

If f(x)={{:(mx+1",",xle(pi)/(2)),(sinx+n",",xge (pi)/(2)):} is continuous at x=(pi)/(2) , then

Show that f(x)=(x-|x|)/(2), when \ x!=0 f(x)=2 \ when \ x=0 \ is \ d i s c o n t i n u o u s \ at \ x=0