How to prove that (n+1)/2^n is divergent

[isukatphysics69]

Homework Statement

Prove that (n+1)!/2^n is divergent

Homework Equations

The Attempt at a Solution

i know that factorials grow faster than exponentials. But on an exam i would not know how to actually prove that this is divergent other than saying that the numerator is growing much faster than the denominator. i cannot find in my book where they prove this.

 

[isukatphysics69]

i will try ratio test

 

[Mark44]

i will try ratio test

This will work.