Let S = {x: x is rational and x2 < 2}. Convince yourself that S does not

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Let S = {x: x is rational and x2 < 2}. Convince yourself that S does not have a least upper bound in the rational numbers, but does have such a bound in the real numbers. In other words, the sequence of rational numbers 1, 1.4, 1.41, 1.414,...., has no limit within the rational numbers?
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Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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