Question: Question 1 Question 1. (Total 8pts) Prove that the limit of a sequence, when it exists, must be unique. In other words, if lim an

Question 1

Question 1. (Total 8pts) Prove that the limit of a sequence, when it exists, must be unique. In other words, if lim an = a and lim an = B, then a = B must follow. 00 + + 21 72- + 00 Question 2. (Total 10pts) Prove the Squeeze Theorem: Let {an], {b,} and {} be sequences with an S bn - Cn for each n E N; if lim an = lim On = 1, then lim bn = y must follow. 12- +00 72 - + 00

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