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Matlab Example 1.3 showed that g(x) = cos x is a convergent FPI. Is the same true for g(x) = cos^2 x? Find the fixed

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Example 1.3 showed that g(x) = cos x is a convergent FPI. Is the same true for g(x) = cos^2 x? Find the fixed point to six correct decimal places, and report the number of FPI steps needed. Discuss local convergence, using Theorem 1.6

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