Problem

Using f (x) = x5−9x4−x3+17x2−8x−8 and x0 = 0, study and explain the behavior of Newton’s...

Using f (x) = x5−9x4x3+17x2−8x−8 and x0 = 0, study and explain the behavior of Newton’s method.

Hint: The iterates are initially cyclic.

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