True or False 1. If {An} is a monotone non increasing sequence of sets then U₁A₁ = A₁. 2. zand z partition the set of all integers. 3. Let A = {0, 1, 2,..., k} where kEZ*. Then lim A, as k→∞ does not exist

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A: Option (C) is correct. II only.

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A: Hi! Thank you for your question.As per guidelines we can solve only one question at a time in case…

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A: Given below the detailed Solution

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Q: 6. Show that the following sequences of sets, {C& }, are non-increasing, (1.2.17), then find lim-»∞…

A: * SOLUTION :-  (6) Given sequence of sets , {CK}, non- increasing, (1.2.17),

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A: Limit

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A: an = (1+33/n)^n

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A: Lexicographical order on with the standard orders on .Also, is the ordinal of  with the standard…

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A: According to the policy, we are solving only first question only. Please resubmit it and specify…

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A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

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A: To evaluate the given limit.

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A: Hi! You have posted multiple sub-parts. As per norms, we will be solving only three sub-parts. We…

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A: With the help of definition we solve the given problem as follows:

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A: