Suppose that a for all c [a, b] if and only if f(x) = 0 for

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Suppose that a
Suppose that a < b and that f : [a,

for all c ˆˆ [a, b] if and only if f(x) = 0 for all x ˆˆ [a, b]. (Compare with Exercise 5.1.4, and notice that f need not be nonnegative here.)

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