ECON 4350 Midterm: ECON 4350 UGA 4350.hexam1.03

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31 Jan 2019
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Good luck: (15 points) evaluate the following limits or explain why it is divergent. (a) (b) lim. 3 n (cid:19)3 n (cid:18) 2n + 1 n(cid:19) n (cid:18)( 1)n + lim. 1 (c) lim n (d) lim n (e) lim n cos(n) n2 n! 2n + 3n! n + log(n) n + 1: (20 points) (a) carefully state the de nition of the convergence of a sequence {an} to a real number l. (b) using the de nition of convergence, prove that lim n .