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Question Number 199553 by cortano12 last updated on 05/Nov/23

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

Answered by MM42 last updated on 05/Nov/23

$$-\frac{\sqrt{2}}{8}i✓$$

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