Mark all statements that are true. Let f:[a,b] →R and assume that Eq= {xe[a,b]: f(x)=a} is measurable for all a ER. Then

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Mark All Statements That Are True Let F A B R And Assume That Eq Xe A B F X A Is Measurable For All A Er Then 1 (26.44 KiB) Viewed 24 times

Mark all statements that are true. Let f:[a,b] →R and assume that Eq= {xe[a,b]: f(x)=a} is measurable for all a ER. Then f is measurable. Assume that f:[a,b]→ R be differentiable. Then the derivative DF:[a,b] → R. Df(x)=f'(x) is measurable. Let V[0,1] be the Vitali's set and f:[0,1] → R be defined by f(x)=(-1 if XEV Then h:[0,1] → R, h(x)=sin?(F(x)) is not measurable. 11 if XE[0, 1]\ V Let fn:[0, 1]>R, f(x)=x", neN. Then f:[0, 1]-R, f(x)=lim fn(x) is measurable. n+00 Off: [a,b] → R is continuous then f is measurable.