Mark all statements that are true. Let V[0,1] be the Vitali's set and f:[0,1]→ R be defined by f(x)=(-1 if xev { Then 11

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Mark All Statements That Are True Let V 0 1 Be The Vitali S Set And F 0 1 R Be Defined By F X 1 If Xev Then 11 1 (37.68 KiB) Viewed 25 times

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