- #1

- 66

- 15

## Homework Statement

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

## Homework Equations

limit laws

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- Thread starter fishspawned
- Start date

- #1

- 66

- 15

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

limit laws

- #2

fresh_42

Mentor

- 14,852

- 12,345

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

- #3

- 66

- 15

- #4

fresh_42

Mentor

- 14,852

- 12,345

- #5

- 66

- 15

- #6

fresh_42

Mentor

- 14,852

- 12,345

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

- 3,863

- 1,520

- #8

- 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

- 36,170

- 6,791

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:

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