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    Taylor Series and Polynomials

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    Using the fact that 1+x = 4+(x-3), find the Taylor series about 3 for g. Give explicitly the numbers of terms. When g(x)=square root of 1+x

    Check the first four terms in the Taylor series above and use these to find cubic Taylor polynomials about 3 for g.

    Use multiplication of Taylor series to find the quartic Taylor polynomial about 0 for the function h(x)=(cosx)ln(1+x) evaluating the coefficients.

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    Solution Summary

    Taylor Series and Polynomials are investigated. The solution is detailed and well presented.