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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
27 Nov 2021

Given information

Newton’s method is used for the function whose graph is shown.

 

Step-by-step explanation

Step 1.

As per question, we can draw require graph, 

Consider the graph of the function and initial approximation .

Graph, the tangent line at (red)

The tangent intersects the axis to determine the second approximation .
Draw tangent at second approximation which is a horizontal line.
 
Thus, Newton's method will fail after second approximation.

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