If the value of lim x → 0 (2 - cos x√(cos 2x))^(((x + 2)/(x²))) is equal to e^(a), then a is equal to _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 20 Jul, Morning shift · Q39

JEE Main 202120 Jul, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If the value of

\mathop {\lim }\limits_{x \to 0} {(2 - \cos x\sqrt {\cos 2x} )^{\left( {{{x + 2} \over {{x^2}}}} \right)}}

is equal to e^a, then a is equal to __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 20 Jul, Morning shift · Q39

JEE Main 202120 Jul, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If the value of

\mathop {\lim }\limits_{x \to 0} {(2 - \cos x\sqrt {\cos 2x} )^{\left( {{{x + 2} \over {{x^2}}}} \right)}}

is equal to e^a, then a is equal to __________.

Your answerType your answer. Integers and decimals are accepted.