# Majorizing a series?

1. Oct 30, 2009

### sassie

1. The problem statement, all variables and given/known data

Find a geometric series that majorizes the series

$$^{\infty}_{5}\Sigma\frac{n^{2}}{n!}$$

2. Relevant equations

3. The attempt at a solution

Can someone explain to me what this questions actually means and how I would go about doing it?

2. Oct 30, 2009

### HallsofIvy

Staff Emeritus
I think that "majorize" means "find a series such that every term is larger than the corresponding term in the given series". In other words, if you are given series $\sum a_n$ you want to find a series, $\sum b_n$, such that $a_n\le b_n$. And, of course, here you want $b_n= br^n$ so it is a geometic series.