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Question Number 178358 by Spillover last updated on 15/Oct/22

$$\mathrm{Show}\mathrm{that}\mathrm{when}\mathrm{x}\mathrm{is}\mathrm{small}$$$$\ln \left(\cosh \mathrm{x}\right)\approx \frac{{\mathrm{x}}^2}{2}-\frac{{\mathrm{x}}^4}{12}+...\mathrm{and}$$$$\mathrm{that}\mathrm{when}\mathrm{x}\mathrm{is}\mathrm{large}\ln \left(\cosh \mathrm{x}\right)\approx \mathrm{x}-\ln 2$$

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