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Mathematics · 2023

JEE Main · 8 April 2023, Shift 1 · Q10

lim_x → 0((((1- cos^2(3 x).)/(cos^3(4 x)))((sin^3(4 x))/(( log_e(2 x+1))^5))) is equal to ____

$\displaystyle \lim _{x \rightarrow 0}\left(\left(\frac{\left(1-\cos ^2(3 x)\right.}{\cos ^3(4 x)}\right)\left(\frac{\sin ^3(4 x)}{\left(\log _e(2 x+1)\right)^5}\right)\right)$ is equal to $\displaystyle \_\_\_\_$
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JEE Main 2023 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.