If the function `f(x) {((1 - cos 4x)/(8x^(2))",",x !=0),(" k,",x = 0):}`is continuous at x = 0 then k = ?

If the function f(x) = {((cosx)^(1/x), ",", x != 0),(k, ",", x = 0):} is continuous at x = 0, then the value of k is

If the function f(x)={((1-cosx)/(x^(2))",","for "x ne 0),(k,"for " x =0):} continuous at x = 0, then the value of k is

If the function f(x) = {((sin^(2)ax)/(x^(2))","," when "x != 0),(" k,"," when " x = 0):} is continuous at x = 0 then k = ?

If f(x)={((1-cos x)/(x)",",x ne 0),(k",",x=0):} is continuous at x = 0, then the value of k is

If {:(f(x),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then k =

If {:(f(x),=((4x+1)/(1-4x))^(1/x),",",x != 0),(,=k, ",",x = 0):} is continuous at x = 0, then k =

If the function f(x) = {(1-cos x)/(x^(2)) for x ne 0 is k for x = 0 continuous at x = 0, then the value of k is

If function defined by f(x) = {{:((sin 3x)/(2x)"," ,x != 0),(k + 1",", x = 0):} is continuous at x = 0 , then value of k is

The function f(x) = {{:((sin x)/(x) + cos x,"if",x ne 0),(k,"if",x = 0):} is continuous at x = 0, then value of k is :