3. Let {gn} be a sequence of integrable functions such that gn → g a.e. with g integrable. Show that lim fgn – g| = 0 if and only if lim f [gn| = S \g] .
3. Let {gn} be a sequence of integrable functions such that gn → g a.e. with g integrable. Show that lim fgn – g| = 0 if and only if lim f [gn| = S \g] .
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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3. Let fgng be a sequence of integrable functions such that gn ! g
a.e. with g integrable. Show that lim jgn
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