Question: Suppose that 0 < r < 1 and that f: B1(0) R is continuously differentiable. If there is an a > 0 such that |f(x)|

Suppose that 0 < r < 1 and that f: B1(0) R is continuously differentiable. If there is an a > 0 such that |f(x)| < ||x||a for all x ∈ B, (0), prove that there is an M > 0 such that |f(x)| < M||x|| for x ∈ Br(0).

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