The value of k for which the function `f(x) = (4/5)^((tan4x)/(tan5x)), 0ltxltpi/2` and `f(x)=k+2/5, x=pi/2` is continuous at `x=pi/2`

f(x)=[tan(pi/4+x)]^(1/x), x!=0 and f(x)=k, x=0 is continuous at x=0 then k=

Find the value of k so that the function f defined by f(x)={((kcos x)/(pi-2x)),when x!=pi/2),(0,atx=pi/2):} is continuous at x = (pi)/2 .

Find the value of k, the function, f(x)={:{((1-sinx)/((pi-2x)^(2))", "x!=(pi)/(2)),(" k, "x=(pi)/(2)):} is continuous at x=(pi)/(2) .

Find the value of k so that the function f defined by f(x)={(kcosx)/(pi-2x), "if"\ \ x\ !=pi/2" 3,if"\ x=pi/2 is continuous at x=pi/2

Find the value of k so that the function f defined by f(x)={(kcosx)/(pi-2x),3 , "if" x !=pi/2"if" x=pi/2 is continuous at x=pi/2

Find the value of k for which the function f(x)={k x+5, if x lt=2x-1, if x >2} is continuous at x=2

f(x)={[2x tan x-(pi)/(cos x),,x!=(pi)/(2)k,x=(pi)/(2)quad is continuous at x=(pi)/(2)

The function f(x)=(sin2x)^(tan^2 2x) is not defined at x=pi/4 . The value of f(pi/4) so that f is continuous at x=pi/4

For what value of k, the function f(x)={((tan2x)/(x)", if "x!=0),(k", if "x=0):} is continuous at x=0 ?