- #1

- 276

- 0

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

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter frasifrasi
- Start date

- #1

- 276

- 0

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

- #2

rock.freak667

Homework Helper

- 6,223

- 31

.....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?

do you know the nth term in a binomial expansion?

Last edited:

- #3

morphism

Science Advisor

Homework Helper

- 2,015

- 4

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:

- #4

- 276

- 0

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

- #5

rock.freak667

Homework Helper

- 6,223

- 31

- #6

morphism

Science Advisor

Homework Helper

- 2,015

- 4

Read my post...

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

- #7

HallsofIvy

Science Advisor

Homework Helper

- 41,847

- 967

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

You can, in fact, extend the binomial theorem to fractional or negative exponents. Morphism suggested an even easier way. You'[ve already been given two very good ways of finding the series. Why don't you appreciate them?

Share: