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    Bisection and newton's method

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    Using the bisection method, find the positive root of 2x(1 + x^2)^-1 = arctan x. Using
    this root as x0; apply Newton's method to the function f(x) = arctan x: Interpret
    the results you obtain.

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    Solution Summary

    This shows how to use the bisection method to find a root and apply Newton's method to the function.