Question: Suppose that I is a nonempty open interval and that f is bounded and C on I. If there is an M > 0 such

Suppose that I is a nonempty open interval and that f is bounded and Cˆž on I. If there is an M > 0 such that |f(k)(x)|
Suppose that I is a nonempty open interval and that

for n = 0, 1, 2, ..., then prove that f is zero on [a, b].

rb f(x)x" dx =0

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