f(x)={[(1-cos4x)/(8x^(2)),," when "x!=0],[k,," when "x=0]" at "x=0

Find the values of k for which f(x)={(1-cos4x)/(8x^(2)),quad when x!=0k,quad when x=0 is continuous at x=0

Let f(x)={(1-cos x)/(x^(2)), when x!=01,quad when x=0. Show that f(x) is discontinuous at 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):}

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 the function f(x)={{:((1-cos(ax))/(x^2)," when "xne0),(1," when "x=0):} be continuous at x=0, then find the value of a.

Given , f(x)={{:((1-cos3x)/(x^(2)),"when " xne0),(1,"when "x=0):} Prove that f (x) is discontinuous at 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):}

Let f(x) ={{:((1-cos 4x)/(x^(2))",","when" x lt 0),(a",","when"x=0),((x)/(sqrt(16+sqrtx)-4)",","when" x gt0):} Determine the value of a, if possible, so that f(x) is continuous at x=0.

Find the values of k for which f(x)={(1-cos4x)/(8x^2),\ \ \ w h e n\ x!=0k ,\ \ \ w h e n\ x=0 is continuous at x=0 .