Difference between revisions of "Abs(log(1-x)) less than 3x/2"
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Latest revision as of 19:54, 25 June 2017
Theorem
The following formula holds for $0<x \leq 0.5828$: $$\left| \log(1-x) \right| < \dfrac{3x}{2},$$ where $\log$ denotes the logarithm.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.35$
