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  3. 1. suppose ?:? ? ? and {??}??? is an indexed colle

1. Suppose ?:? ? ? and {??}??? is an indexed collection of subsets of set ?....

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Advance Math

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)^? /?)

Answer & Explanation Solved by verified expert
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1 Let then there exists such that Now for all thisimplies for all thisimplies Thus we getNow suppose assume f is 11    See Answer
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