The method of successive substitutions for the equation x = ( x 2 + 1 ) / 2 converges to the solution x = 1 when x 0 = 0 but diverges when x 0 = 2 and x 0 = 1.1 .

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Answer 1

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Chapter 13.1, Problem 19E

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The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.

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Answer 2

Question

Chapter 13.1, Problem 19E

To determine

To show:

The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.

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Answer 3

Question

Chapter 13.1, Problem 19E

To determine

To show:

The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.

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Answer 4

Question

Chapter 13.1, Problem 19E

To determine

To show:

The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.

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Answer 5

Chapter 13.1, Problem 19E

To determine

To show:

The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.

Answer 6

Chapter 13.1, Problem 19E

To determine

To show:

The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.

Answer 7

Chapter 13.1, Problem 19E

To determine

To show:

The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 13.1 - In Problem 1-4, express the given initial value...Ch. 13.1 - In Problem 1-4, express the given initial value...Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E

The method of successive substitutions for the equation x = ( x 2 + 1 ) / 2 converges to the solution x = 1 when x 0 = 0 but diverges when x 0 = 2 and x 0 = 1.1 .

Solution Summary: The author illustrates the method of successive substitutions for the equation x=(x2+1)/2.

Videos

To show:

The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.

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Chapter 13 Solutions

The method of successive substitutions for the equation x = ( x 2 + 1 ) / 2 converges to the solution x = 1 when x 0 = 0 but diverges when x 0 = 2 and x 0 = 1.1 .

Solution Summary: The author illustrates the method of successive substitutions for the equation x=(x2+1)/2.

Videos

To show: The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.

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Chapter 13 Solutions

To show:

The method of successive substitutions for the equation x=(x2+1)/2 converges to the solution x=1 when x0=0 but diverges when x0=2 and x0=1.1.