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Course: MATH 510, Fall 2008
School: New Mexico
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Word Count: 103

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510 MATH - Introduction to Analysis I Homework # 1: Problems in Rudin's 7th edition p.22: 1, 4, 5*, 8, 9*, 15*. (Hand in only the (*) problems.) The following problems appeared in Qualifying exams in the past. Use whatever tools you know from calculus or advanced calculus to solve them. It will give me information of you what know. Qual Aug 2000 # 1: Suppose r (0, 1) and that x &gt; -1. Show that (1 + x)r 1...

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510 MATH - Introduction to Analysis I Homework # 1: Problems in Rudin's 7th edition p.22: 1, 4, 5*, 8, 9*, 15*. (Hand in only the (*) problems.) The following problems appeared in Qualifying exams in the past. Use whatever tools you know from calculus or advanced calculus to solve them. It will give me information of you what know. Qual Aug 2000 # 1: Suppose r (0, 1) and that x > -1. Show that (1 + x)r 1 + rx, and that equality holds if and only if x = 0. Qual Aug 2005 # 2(b): Show that if a, b 0, then the following inequality holds for all 0 t 1, at b1-t at + b(1 - t). This homework is due on Wednesday August 31st, 2005.
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