1. Mathematics
2. Calculus and Analysis
3. Basic Calculus
4. 294692

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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)