# Thread: Help with proving inequality

1. ## Help with proving inequality

Can anyone help with suggestions for the following proof. This is for a research project I'm working on. Please let me know if you have any questions. Thanks!

$w^B+1 > (1+w)^B$ where $0 and $0

2. Have you considered using the (generalized) binomial theorem?

--Kevin C.

3. If $f(w) = (1+w)^B - w^B$ then f(0) = 1 and f'(w) < 0. So the function f decreases from 1 as w increases, and thus f(w) < 1 for w > 0.