Solving Majorization of Series: Find Geometric Series^

[sassie]

Homework Statement

Find a geometric series that majorizes the series


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

Homework Equations

The Attempt at a Solution

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

 

[HallsofIvy]

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 [math]b_n= br^n[/math] so it is a geometic series.