`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`

If f(x)={{:((1-tanx)/(4x-pi)",",x ne(pi)/(4)),(k ",",x=(pi)/(4)):} is continuous at x=(pi)/(4) then the value of k is

Let f (x)= {{:((1- tan x)/(4x-pi), x ne (pi)/(4)),( lamda, x =(pi)/(4)):}, x in [0, (pi)/(2)), If f (x) is continuous in [0, (pi)/(2)) then lamda 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

If f(x)={{:((1-sqrt2sinx)/(pi-4x)",",ifxne(pi)/(4)),(a",",if x=(pi)/(4)):} in continuous at (pi)/(4) , then a is equal to :

Let f(x) =(kcosx)/(pi-2x) if x!=pi/2 and f(x)=3 if x=pi/2 then find the value of k if lim_(x->pi/2) f(x)=f(pi/2)

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) = (tanx)/(x-pi) , then lim_(xrarr(pi))f(x)= ……………….

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

If f(x)=(tan(pi/4+(log)_e x))^((log)_x e) is to be made continuous at x=1, then what is the value of f(1)?

If f(x)=(sqrt(2)cosx-1)/(cotx-1),x!=pi/4dot Find the value of f(pi/4) so that f(x) becomes continuous at x=pi/4dot