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Homework_4 - Homework 4 - Math 139 Due Sep 29nd Instructor...

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Unformatted text preview: Homework 4 - Math 139 Due Sep 29nd Instructor Office Office hours Web page Mauro Maggioni 293 Physics Bldg. Monday 1:30pm-3:30pm. www.math.duke.edu/˜ mauro/teaching.html Reading: from Reed’s textbook: Sections 2.6 Problems: §2.2: #1b, 2a, 4, 5 §2.4: #1, 3, 5 §2.5: #1, 3 Additional Problem: 1. A real number d is said to be a limit point of a sequence {an } if for any ǫ > 0 and any N ∈ N, there exists n ≥ N such that |an − a| ≤ ǫ, or in logical form, (∀ǫ > 0)(∀N ∈ N)(∃n)(n ≥ N ∧|an − a| ≤ ǫ). Write the logical and then the prose form of the statement: “d is not a limit point of {an }”. 2. §2.6: #2,4,6 ...
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This note was uploaded on 01/16/2012 for the course MATH 139 taught by Professor Pardon,w during the Fall '08 term at Duke.

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