Log(1+x) less than x
From specialfunctionswiki
Theorem
The following formula holds for $x>-1$: $$\log(1+x)<x,$$ where $\log$ denotes the logarithm.
Proof
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $4.1.33$
