Show that I: [a, b] ~ IRis Riemann integrable on [a, b] if and only if there exists L e

Chapter 7, Problem 3

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Show that I: [a, b] ~ IRis Riemann integrable on [a, b] if and only if there exists L e JRsuch that for every e > there exists 8 > such that if P is any tagged partition with normIIPII ~ 8,then IS(f; p) - LI ~ e.

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