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1. Can a sequence attain its limit; that is, can the limit of a sequence be...

1. Can a sequence attain its limit; that is, can the limit of a sequence be one of the terms of the sequence? If so, give an example. If not, explain.

2. If a sequence never attains its limit; could its terms consist of a finite number of distinct values? If so, give an example. If not, explain.

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