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In solving f(x) = x² - 3x + 1 = 0 using fixed-point iteration, which of the following is correct? %3D O If gix) = (x? +1)/3 and xo 2 approaches the smaller solution or root. O Il glx) = (x2 +1)/3 and xo 1 approaches the larger solution or rool. O If gix) = 3 - 1/x and xo = 3 results to a sequence which diverges. O If gix) = 3- 1/x and xo = 1 approaches the smaller solution or root. %3D

In solving f(x) = x² - 3x + 1 = 0 using fixed-point iteration, which of the following is correct? %3D O If gix) = (x? +1)/3 and xo 2 approaches the smaller solution or root. O Il glx) = (x2 +1)/3 and xo 1 approaches the larger solution or rool. O If gix) = 3 - 1/x and xo = 3 results to a sequence which diverges. O If gix) = 3- 1/x and xo = 1 approaches the smaller solution or root. %3D

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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O Bisection. D Question 10 In solving f(x) = x - 3x +1 = 0 using fixed-point iteration, which of the following is correct? O If gix) = (x2 +1)/3 and xo = 2 approaches the smaller solution or root. O Il g(x) = (x2 +1)/3 and xo = 1 approaches thc larger solution or rool. O If g(x) = 3 - 1/x and xo = 3 results to a sequence which diverges. O If glx) = 3- 1/x and x, = 1 approaches the smaller solution or root.
Transcribed Image Text:O Bisection. D Question 10 In solving f(x) = x - 3x +1 = 0 using fixed-point iteration, which of the following is correct? O If gix) = (x2 +1)/3 and xo = 2 approaches the smaller solution or root. O Il g(x) = (x2 +1)/3 and xo = 1 approaches thc larger solution or rool. O If g(x) = 3 - 1/x and xo = 3 results to a sequence which diverges. O If glx) = 3- 1/x and x, = 1 approaches the smaller solution or root.
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