Question: 1 . 8 . Let A 1 , A 2 , dots be events. Prove that A n A if and only if 1 A

1.8 .

Let

A_{1}, A_{2},

dots be events. Prove that

A_{n} A

if and only if

1_{A_{n}} 1_{A}

as functions on

(

that is

, 1_{A_{n}} () 1_{A} ()

for every

) .

1 . 8 . Let A 1 , A 2 , dots be events. Prove

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