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## Homework Statement

find [tex]a_{n}[/tex] for [tex]f(x)\ =\ \frac{1}{1+3x}[/tex]

## The Attempt at a Solution

I got:

f(0) = 1

f'(0) = -3

f''(0) = 9

The answer I ended up with was:

[tex]a_{n} \ = \ {(-1)}^n\frac{3^n}{n!}[/tex]

However, the answer in the back of my book has the same answer except it's not divided by n!.