A sequence {an} is given by a1 = 2, an+1= 2 + an. (a) By induction or

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A sequence {an} is given by a1 = √2, an+1=√ 2 + an.
(a) By induction or otherwise, show that {an} is increasing and bounded above by 3. Apply Theorem 11 to show that lim n→∞ an exists
(b) Find lim n→∞ an.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Jul 10, 2010 01:16 AM

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A sequence {an} is given by a1 = 2, an+1= 2 + an. (a) By induction or

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a Let P be the statement that an1 an and an 3 P is ob...View the full answer

Introduction to Real Analysis

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