Show that the function l(x) := 1/x is uniformly continuous on the set A :=[a, oo), where

Introduction to Real Analysis | 3rd Edition | ISBN: 9780471321484 | Authors: Robert G. Bartle, Donald R. Sherbert

ISBN: 9780471321484 424

Solution for problem 1 Chapter 5.4

Introduction to Real Analysis | 3rd Edition

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Problem 1

Show that the function l(x) := 1/x is uniformly continuous on the set A :=[a, oo), where a is a positive constant.

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 Countries of Europe o Germany  82 million people  Initially was made up several tribes, royal families  Unified late 1800s early 1900s  Was divided after WWII  West Germany = part of Europe, democratic  East Germany = USSR, Communist  Contains 16 states  Highly urbanized  89% of the population  A leader in Europe : manufactoring/economic stability  Largest economy of Europe  Has the Autobahn (interstate system) o France  64 million people  Oldest state in europe

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