[Solution Library] Let f be continuous on $[a, b]$ and suppose that f(x) ≥q 0 for all x ∈ [a, b]. Prove that if L(f)=0, then f(x)=0 for all x ∈ [a,
Question: Let \(f\) be continuous on $[a, b]$ and suppose that \(f(x) \geq 0\) for all \(x \in[a, b]\). Prove that if \(L(f)=0\), then \(f(x)=0\) for all \(x \in[a, b] .\)
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