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Real analysis problem on riemann integrable functions. (5) Let f : [0,1] > R be a Riemann integrable function and let a > O. Show

Real analysis problem on riemann integrable functions.

(5) Let f : [0,1] > R be a Riemann integrable function and let a > O. Show that there exist continuous functions 9, h : [0,1] > R such that 9(33) 3 f(;1:) 5 Mac) for all a: 6 [0,1], and [0 (Mac) g(:c)) (3?

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