View source for X less than e^x-1 less than x/(1-x) for nonzero real x less than 1

==Theorem==
The following formula holds for nonzero $x \in \mathbb{R}$ with $x<1$:
$$x < e^x -1 < \dfrac{x}{1-x},$$
where $e^x$ denotes the [[exponential]].

==Proof==

==References==
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=X/(1+x) less than 1-e^(-x) less than x for nonzero real x greater than -1|next=1+x greater than exp(x/(1+x)) for nonzero real x greater than -1}}: 4.2.33

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