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Homework_11 - Homework 11 - Math 139 Due Nov. 17th...

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Unformatted text preview: Homework 11 - Math 139 Due Nov. 17th 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: Section 5.3,5.6 Problems: §5.1: #1,4,11 §5.2: #9,15 Additional Problems: 1. Let {fn (x)} be a sequence of functions which converges pointwise to a function f (x) on some subset E ⊆ R. Suppose there exists a sequence {xn } ⊆ E and a positive number c such that |fn (xn ) − f (xn )| > c, for all n. Prove that {fn (x)} does not converge uniformly to f (x) on E . ...
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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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