Suppose that f has m continuous derivatives. Modify the proof of Theorem 2.10 to show

Chapter 2, Problem 2.4.12

(choose chapter or problem)

Suppose that f has m continuous derivatives. Modify the proof of Theorem 2.10 to show that f has a zero of multiplicity m at p if and only if 0 = f (p) = f (p) == f (m1) (p), but f (m) (p) = 0.

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