Let F(x) := x cos(Ï/x) for x [0; 1] and F(0) := 0. It will be seen
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(a) Show that Fʹ and |Fʹ| are continuous on any interval [c, 1], 0 (b) If ak := 2/(2k + 1) and bk := 1/k for k N, then the intervals [ak, bk] are non overlapping and 1/k
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0ε1 Σ1. k=1
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a In fact fx Fx cosx x sinx for x 0 we set f0 0 F0 0 Then f and f a...View the full answer
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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