View source for -log(1-x) less than x/(1-x)

==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==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=X less than -log(1-x)|next=abs(log(1-x)) less than 3x/2}}: $4.1.34$

[[Category:Theorem]]
[[Category:Unproven]]