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
Posted: Thu May 12, 2022 10:48 am
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].)