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Question Number 28890 by abdo imad last updated on 31/Jan/18

$$1)provethat\mathrm{\forall }x⩾0x-\frac{x^2}{2}⩽ln(1+x)⩽x$$$$2)find{lim}_{n\to +\mathrm{\infty }}\prod _{k=1}^n{(1+\frac{1}{k^2+n^2})}^n.$$

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