- #1
The_Iceflash
- 50
- 0
Homework Statement
Prove that if a > 0, the sequence [tex]\frac{a^{n}}{n!}[/tex] is eventually decreasing for large n.
Homework Equations
N/A
The Attempt at a Solution
I know I'm to prove this by finding the index but I'm at a loss on how to find the index on such a sequence as I'm not used to using a variable that's in the sequence.
To warmup I was given a values 110 and 300 to find an index for but with 'a' being in the sequence itself I'm not sure how to do that.