Question: 3 . Give an example of function f ( x ) and an initial choice x 0 such that Newton s method fails because the

3. Give an example of function f(x) and an initial choice x0 such that Newtons method fails because the iterative process bounces back and forth between two values. This kind of behavior is known as a 2-cycle. Write a paragraph explaining. Insert pictures or diagrams, as necessary.

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