Thread: 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!
Thanks in advance!

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!
Thanks in advance!

Notice for say n=5 that you get



Notice that for that each fraction will be larger than 1.

Now what will happen as n increases. I hope this helps.