= 2. Suppose f is locally integrable on (0,1] and f 20. Define F(x) = Sz' f(t)dt. Show that if F(x) is a bounded functio

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2 Suppose F Is Locally Integrable On 0 1 And F 20 Define F X Sz F T Dt Show That If F X Is A Bounded Functio 1 (59.31 KiB) Viewed 18 times

2 Suppose F Is Locally Integrable On 0 1 And F 20 Define F X Sz F T Dt Show That If F X Is A Bounded Functio 2 (23.46 KiB) Viewed 18 times

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= 2. Suppose f is locally integrable on (0,1] and f 20. Define F(x) = Sz' f(t)dt. Show that if F(x) is a bounded function on (0,1], then the improper integral of f on (0,1] exists and Só f(t)dt = lim F(x) sup F(x) x0+ x (0,1]

Suppose f is integrable on [1, c) and f 2 0 , lim f(x) = 0. Show that f? is integrable on [1, ). X700