- #1

- 24

- 0

how can i find a power series representation for a function like f(x)= ln(1+7x)?

- Thread starter sportlover36
- Start date

- #1

- 24

- 0

how can i find a power series representation for a function like f(x)= ln(1+7x)?

- #2

Mark44

Mentor

- 34,675

- 6,387

There are at least two ways. One is very mechanical and involves taking the derivatives of your fucntion. The other is probably a lot quicker. Can you find a power series for 7/(1 + 7x) = 1/(x + 1/7)? What's the connection between ln(1 + 7x) and 1/(x + 1/7)?how can i find a power series representation for a function like f(x)= ln(1+7x)?

- #3

- 24

- 0

- #4

Mark44

Mentor

- 34,675

- 6,387

If you didn't understand that connection, how did you get the result that you got? BTW, I'm not sure that your result is right.

- Last Post

- Replies
- 2

- Views
- 1K

- Last Post

- Replies
- 1

- Views
- 3K

- Last Post

- Replies
- 1

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 3K

- Last Post

- Replies
- 1

- Views
- 2K

- Last Post

- Replies
- 1

- Views
- 566

- Last Post

- Replies
- 1

- Views
- 2K

- Replies
- 1

- Views
- 2K

- Replies
- 1

- Views
- 3K

- Last Post

- Replies
- 2

- Views
- 1K