# Taylor series strategy

1. Dec 13, 2007

### frasifrasi

I am trying to find the maclaurin series for f(x) = (1 + x)^(-3)

--> what is the best way of doing this--to make a table and look for a trend in f^(n)?

2. Dec 13, 2007

### rock.freak667

.....well you can do that but you will just find that is just a binomial series.

do you know the nth term in a binomial expansion?

Last edited: Dec 13, 2007
3. Dec 13, 2007

### morphism

Presumably you know the expansion of 1/(1+x) (hint: think geometric series). So what's the second derivative of 1/(1+x), and how does this help? This should give you another way of finding the expansion of (1+x)^(-3).

Last edited: Dec 13, 2007
4. Dec 13, 2007

### frasifrasi

NO!!! NO!! NO!! there should be no binomals involved. Is there a simpler way? the way we usually do this is by making a table.

If someone can shed some light, I would appreciate it.

5. Dec 13, 2007

### rock.freak667

Well you will have to find f(0),f'(0),f'''(0) and so forth for the traditional method for finding the maclaurin series for that function. But I believe that you should make the table and then make the series if that is the way you know how to do it

6. Dec 13, 2007