1. Using Definition 9.li, prove that the following limits exist. (a) Zk = (~, 1 - :2...

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1. Using Definition 9.li, prove that the following limits exist.

(a) Zk = (~, 1 - :2 ) .

(b) ( k . 1) Zk = k + 1 ' sm k .

(c) Zk = (log(k + 1) -log k, 2-k ) •

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