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Show that the sequence defined by a1 2 an11 1 3 2 an satisfies 0 , an < 2 and is

Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart ISBN: 9781305270336 484

Solution for problem 82 Chapter 11.1

Single Variable Calculus: Early Transcendentals | 8th Edition

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Single Variable Calculus: Early Transcendentals | 8th Edition | ISBN: 9781305270336 | Authors: James Stewart

Single Variable Calculus: Early Transcendentals | 8th Edition

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1
Problem 82

Show that the sequence defined by a1 2 an11 1 3 2 an satisfies 0 , an < 2 and is decreasing. Deduce that the sequence is convergent and find its limit.

Step-by-Step Solution:
Step 1 of 3

6OJU▯0OF▯ $IBQUFS▯0OF▯▯0WFSWJFX▯ ▯ $PODFQU▯0OF▯ ▯ ▯▯▯▯0SHBOJ[BUJPO▯▯▯▯▯▯▯▯*OGPSNBUJPO▯▯▯▯▯▯▯▯&OFSHZ▯BOE▯.BUUFS▯▯▯▯▯▯▯▯*OUFSBDUJPOT▯▯▯▯▯▯▯▯&WPMVUJPO▯ ▯ 4USVDUVSF▯DPSSFMBUFT▯UP▯JUT▯GVODUJPO▯▯)JFSBSDIZ▯PG▯DPNQMFYJUZ▯JO▯PSHBOJTNT▯▯ ▯ "▯TFRVFODF▯PG▯OVDMFPUJEFT▯NFBOT▯UIF▯TBNF▯BDSPTT▯PSHBOJTNT▯▯%J⒎FSFODFT▯JO▯PSHBOJTNT▯ FNFSHF▯GSPN▯EJ⒎FSFOU▯BSSBOHFNFOUT▯PG▯OVDMFPUJEF▯TFRVFODFT▯JOTUFBE▯PG▯HFOFUJD▯DPEFT▯▯ ▯ $IFNJDBMT▯DZDMJOH▯SFDZDMFT▯BWBJMBCMF▯SFTPVSDFT▯JO▯B▯FDPTZTUFN▯▯4VOMJHIU▯ˠ▯$IFNJDBM▯ FOFSHZ▯▯ ▯ *OUFSBDUJPOT▯C▯X▯PSHBOJTNT▯IFMQ▯SFHVMBUF▯UIF▯FDPTZTUFNT▯BT▯B▯XIPMF▯▯#▯X▯NPMFDVMFT▯JU▯ FOTVSFT▯TNPPUI▯PQFSBUJPO▯PG▯UIF▯PSHBOJTN▯▯ ▯ $PNNPO▯BODFTUPST▯▯ ▯ ▯ ▯ $PODFQU▯5XP▯ ▯ l/PUIJOH▯JO▯CJPMPHZ▯NBLFT

Step 2 of 3

Chapter 11.1, Problem 82 is Solved
Step 3 of 3

Textbook: Single Variable Calculus: Early Transcendentals
Edition: 8
Author: James Stewart
ISBN: 9781305270336

The full step-by-step solution to problem: 82 from chapter: 11.1 was answered by , our top Calculus solution expert on 03/19/18, 03:29PM. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. This full solution covers the following key subjects: . This expansive textbook survival guide covers 95 chapters, and 5427 solutions. The answer to “Show that the sequence defined by a1 2 an11 1 3 2 an satisfies 0 , an < 2 and is decreasing. Deduce that the sequence is convergent and find its limit.” is broken down into a number of easy to follow steps, and 32 words. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. Since the solution to 82 from 11.1 chapter was answered, more than 242 students have viewed the full step-by-step answer.

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Show that the sequence defined by a1 2 an11 1 3 2 an satisfies 0 , an < 2 and is