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Unformatted text preview: n ≥ 2000: d n is 29 for leap years n when n/ 4 is an integer and is 28 other years. What happens to the sequence { d n } ∞ n =2000 as n → ∞ ? n y 30 27 28 29 2000 2004 2008 2012 FIGURE 3 Answer: { d n } ∞ n =2000 diverges. Example 4 Does the sequence b e 1 / √ n B ∞ n =1 converge or diverge? If it converges, give its limit. Answer: The sequence converges and its limit is 1. (The table below shows that the limit is approached relatively slowly.) n 1 10 100 1000 10,000 100,000 e 1 / √ n . = 2 . 7183 1 . 3719 1 . 1052 1 . 0321 1 . 0101 1 . 0010 Interactive Examples Work the following Interactive Examples on Shenk’s web page, http//www.math.ucsd.edu/˜ashenk/: ‡ Section 10.1: Examples 1–5 ‡ The chapter and section numbers on Shenk’s web site refer to his calculus manuscript and not to the chapters and sections of the textbook for the course....
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This note was uploaded on 09/13/2010 for the course MATH math 10b taught by Professor Reed during the Summer '10 term at UCSD.
 Summer '10
 reed

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