Difference between revisions of "X less than -log(1-x)"
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Latest revision as of 19:51, 25 June 2017
Theorem
The following formula holds for $x<1$ and $x \neq 0$: $$x < -\log(1-x),$$ where $\log$ denotes the logarithm.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.34$
