[" For what value of "k" ,the following function is continuous at "x=0" ? "],[qquad f(x)={[(1-cos4x)/(8x^(2)),," if "x!=0],[k,," if "x=0]]

For what value of k the following function is continuous at x=0 ? f(x)={{:((1-cos4x)/(8x^(2))", "x!=0),(k", "x=0):}

For what value of k, function f (x) is continuous at x = 0 where f(x) ={((1-cos 4x)/(8x^2)),(k):}, ((x ne 0),(x =0))

For what value of k, function f (x) is continuous at x = 0 where f(x) ={((1-cos 4x)/(x^2)),(k):}, ((x ne 0),(x =0))

If the following function f (x) is continuous at x = 0 , find k : f(x)={{:((1-cos2mx)/(2x^(2)),"when " xne0),(" " k,"when " x =0):}

Determine k, if the following function is continuous at x = 0 f(x) = {{:((1 - cos 2x)/(2x^2)"," ,x != 0),(k",", x = 0):}

For what value of k, function f (x) is continuous at x = 0 where f(x) ={((1-cos x)/(x^2)),(k):}, ((x ne 0),(x =0))

For what value of k is the function f(x)={k(|x|)/(x),x =0 continuous at x=0?

Determine the value of k so that following functions are continuous at x = 0 f(x) = {{:((sin 2x)/(x)"," ,"if " x != 0),(k",","if " x = 0):}

For what value of k is the function f(x) = { k|x|/x, x =0 continuous at x = 0 ?

For what values of constant K, the following functions are continuous the indicated points. f(x)={{:(,(1-cos 4x)/(x^(2)), x lt 0),(,K,x=0),(,sqrt(x)+8,x gt 0):}" at x =0"