Proof by Induction

[Pedrox32]

Hello Guys,
I've stumbled in this problem and cannot find a way out.
How can I prove that e^n>n^2 by mathematical induction?
Thanks guys!

 

[Otis]

Hi. Have you used induction before, or is this your very first attempt?
[imath]\;[/imath]

 

[Dr.Peterson]

Hello Guys,
I've stumbled in this problem and cannot find a way out.
How can I prove that e^n>n^2 by mathematical induction?
Thanks guys!

This actually is not true for all n (but it is true for non-negative n).

Please show the exact wording of the problem as given to you, along with what you have tried, so we can see where you "stumbled".

 

[JeffM]

As Dr. Peterson pointed out this, this proposition is not true for all rational n. What does the actual problem say?

How might you start a proof by induction for the actual problem?