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Limits Continuity and Differentiability question

2021 · 20 Jul · Shift 1 · Q44
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  5. /2021 · 20 Jul · Shift 1 · Q44

Limits Continuity and Differentiability question

2021 · 20 Jul · Shift 1 · Q44

JEE MainMathematicsLimits Continuity and DifferentiabilityNumerical+4 / −1
If the value of lim⁡x→0(2−cos⁡xcos⁡2x)(x+2x2)\mathop {\lim }\limits_{x \to 0} {(2 - \cos x\sqrt {\cos 2x} )^{\left( {{{x + 2} \over {{x^2}}}} \right)}}x→0lim​(2−cosxcos2x​)(x2x+2​) is equal to ea, then a is equal to ‾\underline{\hspace{2cm}}​.
Numerical answer
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