# Math Help - How do I solve a limit involving factorials?

1. ## How do I solve a limit involving factorials?

How do I solve the following without plugging in large values of n in order to see whether the numerator or denominator wins? (in other words: how do I show work?):

Any input would be greatly appreciated!

2. Originally Posted by s3a
How do I solve the following without plugging in large values of n in order to see whether the numerator or denominator wins? (in other words: how do I show work?):

Any input would be greatly appreciated!
$\frac{2\cdot (5!)}{4^5}=2\frac{1}{4}\frac{2}{4}\frac{3}{4}\frac {4}{4}\frac{5}{4}$
Notice that for $n > 4$ that each fraction will be larger than 1.