I'm reading Courant's What is Mathematics?
In the beginning, he's showing some proofs, there's a proof about An Important Equality and this important equality is:
$(1+p)^n\geq 1+np$
The book's author states the proof but he doesn't say why the inequality is important, I had a feeling that this inequality importance is by stabilishing the $\geq$ relation in $\mathbb{N}$, is this it's importance? If not, what is it?