`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(x) = (1-tanx)/(4x-pi), x != (pi)/4, x in [0,(pi)/2] . If f(x) is continuous in [0,(pi)/2] , then f((pi)/(4)) 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 != pi/4 , is continuous in (0, pi/2) , then f((pi)/(4)) is equal to

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 g(x)=f(tanx)+f(cotx),AAx in ((pi)/(2),pi). If f''(x)lt0,AAx in ((pi)/(2),pi), then