Maclaurin series

  • Thread starter Kuno
  • Start date
  • #1
19
0

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!.
 

Answers and Replies

  • #2
78
0
the n! is cancelled out somehow. Recheck your workings.

Hint: Find f^n(x). I don't know what's the notation for the nth derivative of f(x)
 
  • #3
19
0
Okay I see it now, thanks.
 
  • #4
78
0
you're welcome :)
 

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