Logarithm bounds

If $x$ is positive, shew that $lo g (1 + x) < x$ and $> \frac{x}{1 + x}$ .

~8 minProof · checked by AIInequalitiesLogarithms

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.b, No. 11

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