   Chapter 3.8, Problem 2E

Chapter
Section
Textbook Problem

# Follow the instructions for Exercise 1(a) but use x 1 = 1 as the starting approximation for finding the root r.

To determine

To use:

x1=1

As the starting approximation for finding the root r

Explanation

1) Concept:

Use Newton’s method.

To find a root of y=f(x), start with an initial approximation x1 after the first iteration of Newton’s method we will get x2, this x2 is actually the x-intercept of the tangent at that point (x1,f(x1)) and now draw a tangent at that point (x2,f(x2)) and the x-intercept at that tangent will be x3. Continue to do this till the value of xn tends to converge.

If initial approximation is given, use it for x1 to proceed

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