If the function `f(x)=(cos(sin x)-cos x)/(x^(4))` is continuous at each point in its domain and `f(0)=(1)/(k)` then `k` is

The function f(x) = sin ^(-1)(cos x) is

If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at each point of its domain, then the value of f(0) (a) 2 (b) 1/3 (c) -1/3 (d) 2/3

If the function f(x)=(2x-sin^(-1)x)/(2x+tan^(-1)x) is continuous at each point of its domain, then the value of f(0) (A) 4/3 (B) 1/3 (C) -1/3 (D) 2/3

If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

If the function f(x)=(sin10 x)/x , x!=0 is continuous at x=0 , find f(0) .

The function f(x) = sin ^(4)x+ cos ^(4)x increases, if

Show that the function defined by f(x)=cos(x^2) is a continuous function.

The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4)) is continuous everywhere is

The value of f(0), so that the function f(x)=(1-cos(1-cosx))/(x^(4)) is continuous everywhere is

If the function f(x)=(sin3x+a sin 2x+b)/(x^(3)), x ne 0 is continuous at x=0 and f(0)=K, AA K in R , then b-a is equal to