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Question Number 178576 by Spillover last updated on 18/Oct/22

$$\mathrm{If}\mathrm{a}>\mathrm{b}>0\mathrm{prove}\mathrm{that}$$$$\mathrm{b}<\frac{{\mathrm{ae}}^{\mathrm{x}}+{\mathrm{be}}^{-\mathrm{x}}}{{\mathrm{e}}^{\mathrm{x}}+{\mathrm{e}}^{-\mathrm{x}}}<\mathrm{a}$$

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