# Proof by Induction - Inequalitiies

• Oct 6th 2011, 12:00 PM
GrigOrig99
Proof by Induction - Inequalitiies
Prove by induction:

Have I worked this out correctly? Thank you.
• Oct 6th 2011, 12:12 PM
Plato
Re: Proof by Induction - Inequalitiies
Quote:

Originally Posted by GrigOrig99
Prove by induction:

Do do you know BERNOULLI's INEQUALITY?
If $x>-1$ then for each $n\in\mathbb{Z}^+$ this is true that $(1+x)^n\ge 1+nx$.
The standard proof of that is by induction.
Do you see a connection?