# differentiability

Suppose that 0<r<1 and than f: B(0) --> R is continuously differentiable. If there is an alpha>0 such that |f(x)|<=||x||^alpha for all xeB_r(0). Prove that here is an M>0 such that |f(x)|<=M||x|| for xeB_r(0)

Â© BrainMass Inc. brainmass.com March 4, 2021, 10:03 pm ad1c9bdddfhttps://brainmass.com/math/basic-calculus/differentiability-294692

#### Solution Summary

This solution examines differentiability.

$2.49