Find the value of the constant `k` so that the function `f` , defined below, is continuous at `x=0` , where `f(x)={((1-cos4x)/(8x^2))k"if"x!="if"x=0`

Find the value of the constant k so that the function given below is continuous at x=0 , f(x)={{:(,(1-cos2x)/(2x^2)(x ne 0) ,kx=0 ) .

Find the value of the constant k so that the function given below is continuous at x=0 .f(x)={(1-cos2x)/(2x^(2)),quad x!=0quad k,quad x=0

Determine the value of the constant k, so that the function f(x)={(kx)/(|x|), if x =0 is continuous at x=0

Find the value of the constant k so that the function given below is continuous at x=0 . f(x)={(1-cos2x)/(2x^2),\ \ \ x!=0\ \ \ \ \ \ \ \ k ,\ \ \ \ \ \ \ \ \ \ \ \ \ x=0

If the functions f(x), defined below is continuous at x=0 find the value of k:f(x)={(1-cos2x)/(2x^(2)),quad x 0

Find the value of k so that the function f defined below is continuous at x=0 f(x)={[(sin2x)/(5x)",",x!=0],[k",",x=0]:}

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={((1-cos2k x)/(x^2), if x!=0 ),(8, if x=0):} at x=0

Find the value of the constant k so that the given function is continuous at the indicated point: f(x)={(1-cos2kx)/(x^(2)),quad if x!=08,quad if x=0 at x=0

If the functions f(x) , defined below is continuous at x=0 , find the value of k : f(x)={(1-cos2x)/(2x^2)\ \ \ ,\ \ \ x 0

Find the value of f(0) so that the function given below is continuous at x=0 f(x)=(1-cos2x)/(2x^2)