- #1

jdawg

- 367

- 2

## Homework Statement

^{∞}

_{n=1}∑(-1)

^{n}[itex]\stackrel{10

^{n}}{(n+1)!}[/itex]

## Homework Equations

## The Attempt at a Solution

I already found that the limit does equal zero by using the ratio test on b

_{n}. What I'm having trouble with is determining if it decreases or not. I know you can't take the derivative of a factorial... Does an exponential increase faster than a factorial?