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Question Number 153449 by liberty last updated on 07/Sep/21

$$\underset{x\to 0}{\lim }\frac{\sqrt[3]{1+{\tan }^{-1}\left(3x\right)}-\sqrt[3]{1-{\sin }^{-1}\left(3x\right)}}{\sqrt{1-{\sin }^{-1}\left(2x\right)}-\sqrt{1+{\tan }^{-1}\left(2x\right)}}=?$$

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