14. Derive the Newton's method for finding 1/N, where N > 0. Hence, find 1/17, using the initial approximation as i) 0.05, ii) 0.15. Do the iterations converge.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 20E
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14. Derive the Newton's method for finding 1/N, where N > 0. Hence, find 1/17,
using the initial approximation as
(i) 0.05,
(ii) 0.15. Do the iterations converge.
the
9
Transcribed Image Text:14. Derive the Newton's method for finding 1/N, where N > 0. Hence, find 1/17, using the initial approximation as (i) 0.05, (ii) 0.15. Do the iterations converge. the 9
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