Calculate ∪∞n=1 An and ∩∞n=1 Anwhere for each n ∈N the set An is defined as:                                                           (vii) An= [−1, 3 + (1/(n) ] ∪ [5, (5n + 1)/(n) ) (viii) An= ( (−1/(n)), 1] ∪(2, (3n −1)/(n) ]

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A: According to our guidelines we can answer only one question and rest can be reposted.

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A: Solution:-

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A: Part (a):- Given that  Ak =  k, k+1, ......, k2 ,   for  k=1, 2, 3,....Find    ∪k=150 Ak - ∩k=1∞ Ak…

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A: These are the problems from the Set Theory.

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A: Ans : page 1:Ans page 2:

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A: a.  (1, 2] and [3, (5+√17)/2]         b.  (-1-√13 , -1+√13)

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Q: A2

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A: Given below the detailed solution

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