- #1

fishspawned

- 66

- 15

## Homework Statement

the limit x->a of [(x+2)^5/3 - (a+2)^5/3] / (x-a)

## Homework Equations

limit laws

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 fishspawned
- Start date

- #1

fishspawned

- 66

- 15

the limit x->a of [(x+2)^5/3 - (a+2)^5/3] / (x-a)

limit laws

- #2

- 17,242

- 17,235

Does the formula in the third attempt remind you on something?

- #3

fishspawned

- 66

- 15

- #4

- 17,242

- 17,235

- #5

fishspawned

- 66

- 15

- #6

- 17,242

- 17,235

It's done by the chain rule and ##x^\alpha = \exp(\alpha \ln x)##. Perhaps this might help and you may use properties of the exponential function. Another substitution ##y=x+2## should decrease writing work.

- #7

- 5,695

- 2,471

- #8

fishspawned

- 66

- 15

this seems to take care of it - provided you know how to expand a sum of powers to a high level - had to look it up to be honest:

so revised sheet:

- #9

- 38,450

- 7,958

Correct result.

this seems to take care of it - provided you know how to expand a sum of powers to a high level - had to look it up to be honest:

so revised sheet:

Share:

- Replies
- 26

- Views
- 1K

- Last Post

- Replies
- 4

- Views
- 324

- Last Post

- Replies
- 9

- Views
- 646

- Replies
- 6

- Views
- 350

- Replies
- 3

- Views
- 382

- Replies
- 2

- Views
- 335

- Last Post

- Replies
- 1

- Views
- 227

- Last Post

- Replies
- 6

- Views
- 65

- Last Post

- Replies
- 15

- Views
- 572

- Replies
- 2

- Views
- 504