Math / Introduction to Real Analysis 3 / Chapter 5.5 / Problem 9

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

Let I:= [a, b] and let I: I~ 1R be a (not necessarily continuous) function. We say that

Chapter 5, Problem 9

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Let I:= [a, b] and let I: I~ 1R be a (not necessarily continuous) function. We say that 1 is "locally bounded" at c e I if there exists 8(c) > 0 such that I is bounded on In [c- 8(c), c + 8 (c)]. Prove that if I is locally bounded at every point of I, then I is bounded on I.

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Let I:= [a, b] and let I: I~ 1R be a (not necessarily continuous) function. We say that

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Let I:= [a, b] and let I: I~ 1R be a (not necessarily continuous) function. We say that

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