Suppose f: [a, b] + R is continuous and Saf = lif for all z in [a, b]. Show that f(x) = 0 for all a € [a, b]. (Hint: Sho
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Suppose f: [a, b] + R is continuous and Saf = lif for all z in [a, b]. Show that f(x) = 0 for all a € [a, b]. (Hint: Sho
Suppose f: [a, b] + R is continuous and Saf = lif for all z in [a, b]. Show that f(x) = 0 for all a € [a, b]. (Hint: Show first that 2 sa f= Saf for any z € [a, b].)
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