If I1 I2 In is a nested sequence of intervals and if

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If I1 ⊂ I2 ⊃ ∙ ∙ ∙⊃ In is a nested sequence of intervals and if In = [an; bn], show that a1 < a2 < ∙ ∙ ∙ < an < ∙ ∙ ∙ and b1 > b2 > ∙ ∙ ∙ bn > ∙ ∙ ∙.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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