if f(x) takes two functions = 1-cos2x/2x2 ( x not equal to zero) and k ( x = 0 ). find value of k if f(x) is continuous at x=0 Share with your friends Share 3 Mayank answered this f(x)=1-cos 2x2x2k , x = 0; x≠0Since given function is continuous at x = 0, then limx→0 fx = f0⇒limx→01-cos 2x2x2 = k⇒limx→02 sin2x2x2 = k⇒limx→0sin xx×limx→0sin xx = k⇒k = 1 10 View Full Answer