25 points Save Answer Let f.9:[a,b]-R, fn: [a,b] → R. and M be the O-algebra of all Lebesgue measurable subsets of [a,b
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25 points Save Answer Let f.9:[a,b]-R, fn: [a,b] → R. and M be the O-algebra of all Lebesgue measurable subsets of [a,b
25 points Save Answer Let f.9:[a,b]-R, fn: [a,b] → R. and M be the O-algebra of all Lebesgue measurable subsets of [a,b ). Mark all statements that are true. 00:[0,1]-R, 4(x)=x.sin(x) is measurable. The function fg:[a,b]-R, (fg)(x) =f(x) g(x) is measurable. Let fni neN be measurable and E={xe[a,b]: limf(x) exists]: Then E is Lebesgue measurable. Olff and g are measurable then for all a,BER, af +Bg is Lebesgue measurable. The function ® : [a,b] =R, p(x)=sup{ fn(x): nỆN},xe[a,b]is measurable.
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