Difference between revisions of "-log(1-x) less than x/(1-x)"
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Revision as of 19:52, 25 June 2017
Theorem
The following formula holds for $x<1$ and $x\neq 0$: $$-\log(1-x) < \dfrac{x}{1-x},$$ where $\log$ denotes the logarithm.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous): $4.1.34$
