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# Hg(x) := ,Jiforx e [0, 1],showthattheredoesnotexistaconstantKsuchthatlg(x)l!:: Klxl for

ISBN: 9780471321484 424

## Solution for problem 11 Chapter 5.4

Introduction to Real Analysis | 3rd Edition

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Problem 11

Hg(x) := ,Jiforx e [0, 1],showthattheredoesnotexistaconstantKsuchthatlg(x)l!:: Klxl for all x e [0. 1]. Conclude that the uniformly continuous g is not a Lipschitz function on [0. 1].

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History lecture 19 By the 1830 slavery had become a big national issue. The leaders of the country would handle the issue by ignoring it. In 1818­1819, Moses Austin was an American by birth but became a Spanish citizen. He recognized that America was about to take over Missouri, he moved to New Mexico. He got permission to settle land in Texas. Spain wanted to settle Texas because they saw how America was settling the west like crazy. They wanted to create a buffer zone between New Mexico and the rest of America to prevent the US from taking over their northern territory. When Austin went to talk to the Spanish government, he told them to let him sell land to Americans in Texas. The Mexican government said yes and gave him a license to sell land. But he ended up dying b

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