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))`

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 x)/(x^2)),(k):}, ((x ne 0),(x =0))

Determine value of k so that the following function f(x) is continuous at x = 0. f(x) ={((sin 5x)/(3x)),(k):}, ((x ne 0),(x =0))

Find the value of 'A', if the function f at (x) = 0 is continuous when f(x) ={((1-cos Ax)/(x sin x)),(1/2):}, ((x ne 0),(x =0))

Find the value of k so that f(x) is continouns at x = 0 f(x) = {{:((1 - cos 2x)/(4x^2)"," ,x != 0),("k,", x = 0):}

Find the value of k so that f(x) is continous at x = 0 f(x) = {{:((1 - cos 8x)/(4x^2)"," ,x != 0),(k",", x = 0):}

If the following function f(x) is continuous at x = 0, find the value of 'a': f(x) = {:{((1-cos4x)/x2,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):}

Determine, k if the following function is continuous at x = 0 f(x) = {{:((sin 3x)/(4x), x != 0),(k,x = 0):}

Examine the continuity of the function 'f' at x = 0, if f(x) ={(x cos(1/x)),(0):}, ((x ne 0),(x = 0))