Let f : (0; 1) R be bounded but such that does not exist. Show that

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Let f : (0; 1) †’ R be bounded but such that does not exist. Show that there are two sequences (xn) and (yn) in (0, 1) with lim(xn) = 0 = lim(yn), but such that (f(xn)) and (f(yn)) exist but are not equal.

Let f : (0; 1) †’ R be bounded but
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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