JEE Main 20203 Sep, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If limx→0{1x8(1−cosx22−cosx24+cosx22cosx24)}\mathop {\lim }\limits_{x \to 0} \left\{ {{1 \over {{x^8}}}\left( {1 - \cos {{{x^2}} \over 2} - \cos {{{x^2}} \over 4} + \cos {{{x^2}} \over 2}\cos {{{x^2}} \over 4}} \right)} \right\}x→0lim{x81(1−cos2x2−cos4x2+cos2x2cos4x2)} = 2^-k then the value of k is _______ .Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
