- #1

CarmineCortez

- 33

- 0

## Homework Statement

Show f(x) = x^(1/3) is not lipschitz continuous on (-1,1).

## Homework Equations

I have abs(f(x)-f(y)) <= k*abs(x-y)

when I try to show that there is no K to satisfy I have problems

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 CarmineCortez
- Start date

- #1

CarmineCortez

- 33

- 0

Show f(x) = x^(1/3) is not lipschitz continuous on (-1,1).

I have abs(f(x)-f(y)) <= k*abs(x-y)

when I try to show that there is no K to satisfy I have problems

- #2

snipez90

- 1,101

- 5

Examine |f'(x)| as x tends to 0.

Share:

- Last Post

- Replies
- 1

- Views
- 612

- Replies
- 0

- Views
- 295

- Last Post

- Replies
- 6

- Views
- 960

- Last Post

- Replies
- 3

- Views
- 519

- Replies
- 11

- Views
- 257

- Last Post

- Replies
- 3

- Views
- 147

- Replies
- 8

- Views
- 555

- Replies
- 11

- Views
- 991

- Replies
- 17

- Views
- 838

- Last Post

- Replies
- 5

- Views
- 577