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Question Number 158241 by HongKing last updated on 01/Nov/21
Prove that:  (((x-1)^2 )/x) + ((x+1)/( (√(x^2 +1)))) ≥ 2  ;  ∀x>0
$$\mathrm{Prove}\:\mathrm{that}: \\ $$$$\frac{\left(\mathrm{x}-\mathrm{1}\right)^{\mathrm{2}} }{\mathrm{x}}\:+\:\frac{\mathrm{x}+\mathrm{1}}{\:\sqrt{\mathrm{x}^{\mathrm{2}} +\mathrm{1}}}\:\geqslant\:\mathrm{2}\:\:;\:\:\forall\mathrm{x}>\mathrm{0} \\ $$

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