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.