Question: Let f be continuous on I := (a, b) and assume f(x) > 0 for all x I. Prove if L(f) = 0, then

Let f be continuous on I := (a, b) and assume f(x) > 0 for all x ∈ I. Prove if L(f) = 0, then f(x) = 0 for all x ∈ I.

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