1. Suppose ?:? ? ? and {??}??? is an indexed collection ofsubsets of set ?. Prove ?(? ?? ??? ) ? ? ?(??) ??? with equality if? is one-to-one.
2. Compute:
a. ? ? ?=1 [?,?)
b. ? ? ?=1 [0,2 ? 1 /?]
c. lim sup ??? (?1 + (?1)^? /?,1 +(?1)^? /?)d. lim inf ???(?1 +(?1)^?/ ?,1 +(?1)^? /?)
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