4. Let 8 = {A E P(X)| A is finite, or A is finite} The function...

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4. Let 8 = {A E P(X)| A is finite, or A° is finite} The function u : E- [0,00] defined as (#(A) if A is finite µ(A) = 0 if A°is finite Let A, = {m eN |m > n}. Use the sequence(A,,)-1 to show that u(A,) I µ(A) false without u(A,) < co. 4. Let 8 = {A E P(X)| A is finite, or A° is finite} The function u : E- [0,00] defined as (#(A) if A is finite µ(A) = 0 if A°is finite Let A, = {m eN |m > n}. Use the sequence(A,,)-1 to show that u(A,) I µ(A) false without u(A,) < co.