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Limits Continuity And Differentiability

JEE Main 2022 (Online) 28th July Morning Shift

INTEGER+4 / -12022

\(\mathop {\lim }\limits_{x \to 0} {\left( {{{{{(x + 2\cos x)}^3} + 2{{(x + 2\cos x)}^2} + 3\sin (x + 2\cos x)} \over {{{(x + 2)}^3} + 2{{(x + 2)}^2} + 3\sin (x + 2)}}} \right)^{{{100} \over x}}}\) এর মান হবে ______________।

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