
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Please do the following questions with the full python coding and explanation below each question typed

Transcribed Image Text:2.
In this problem consider Newton's method.
(a)
Write a PYTHON function computing an approximation of the root p of the equation
f(x) = 0 using Newton's method. Specifically the code will compute the terms xn of the
sequence
f(xn)
f'(xn)'
Xn+1 = Xn
n = 0, 1, 2, ...,
where xo is a given initial guess (or approximation) of the root p. For stopping criterion use
the following: If |xn+1 − xn| ≤ TOL for the first time, then return xn+1 as approximation of
the root p. Allow the code to do only NMAX iterations.
At every step n, the code should print the values n, xn, f(xn) and n+1-n. In case where
the number of iterations reaches the maximum allowed number of iterations without satisfying
the stopping criterion, then the code should print an error message, for example: "Failure:
Algorithm fail to converge using only NMAX iterations".
(b)
Test your code by finding an approximate solution to the equation log(x) + x = 0
with an initial guess of your choice.
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