If the function f(x) = (cos(sin x) - cos x)/x^4 is continuous at each point in its domain and f(0) = 1/k,

Question

If the function f(x) = \(\frac{cos(sin\,x)-cos\,x}{x^4}\) is continuous at each point in its domain and f(0) = \(\frac{1}{k},\) then k is ______ .

Answer 1

Answer is (6)