if limit (x→0) { 1/x^8 (1 - cos x^2/2 - cos x^2/2 + cos x^2/2 cos x^2/4)} = 2^-k, hen the value of k is _______ .

Question

if \(\lim\limits_ {x \to 0}\) { 1/x⁸ (1 - cos x²/2 - cos x²/2 + cos x²/2 cos x²/4)} = 2^-k, hen the value of k is _______ .

Answer 1

8

⇒ 2^-8 = 2^-k 

⇒ k = 8