2. Suppose that Xn is a sequence of real numbers that converges to 1 as n -+...
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2. Suppose that Xn is a sequence of real numbers that converges to 1 as n -+ 00.
Using Definition 2.1, prove that each of the following limits exists.
(a) 1 - Xn -+ ° as n -+ 00.
(b) 3xn +1-+4asn-+00.
(c) (2 + x~)/xn -+ 3 as n -+ 00.
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