$\lim _{x\to 0}\left(\left(\frac{1-{\cos }^{2}(3x)}{{\cos }^{3}(4x)}\right)\left(\frac{{\sin }^{3}(4x)}{{\left({\log }_{e}(2x+1)\right)}^{5}}\right)\right)$ is equal to [JEE Main 2023, 8 Apr (Shift 1)]

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\(\lim _{x\to 0}\left(\left(\frac{1-{\cos }^{2}(3x)}{{\cos }^{3}(4x)}\right)\left(\frac{{\sin }^{3}(4x)}{{\left({\log }_…

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