(b) Use Newton's method to construct a sequence of rational numbers con- verging to √2. Google "Newton's method”, or consult a reference, if you are unsure what Newton's method is.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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(6) Recall that a subset A of RP is dense in RP if à = RP.
(b) Use Newton's method to construct a sequence of rational numbers con-
verging to √2. Google "Newton's method", or consult a reference, if you are
unsure what Newton's method is.
Transcribed Image Text:(6) Recall that a subset A of RP is dense in RP if à = RP. (b) Use Newton's method to construct a sequence of rational numbers con- verging to √2. Google "Newton's method", or consult a reference, if you are unsure what Newton's method is.
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