Lipschitz continuity

  • #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
 

Answers and Replies

  • #2
snipez90
1,101
5
Examine |f'(x)| as x tends to 0.
 

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