Suppose / G C\a, b] and fix) exists on (a, b). Show thatif fix) f 0 for all x in (a, b)

Chapter 1, Problem 8

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Suppose / G C\a, b] and fix) exists on (a, b). Show thatif fix) f 0 for all x in (a, b), then there can exist at most one number p in [a, b] with fip) 0.

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