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(a) Determine the third order (n 3) Taylor polynomial approxi nation for f(x) (z+2) expanded about a =-1 and its remainder term. Leave your answer

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(a) Determine the third order (n 3) Taylor polynomial approxi nation for f(x) (z+2) expanded about a =-1 and its remainder term. Leave your answer in terms of factors (1) (that is, do not simplify). Show all your work. (b) Use the polynomial approximation in (a) (without the remainder term) to approximate f(-1.06) = In (0.94). Use either hand computation, your calculator or MATLAB. Give an exact answer to 6 significant digits. (c) To 6 correct significant digits, the exact value of f(-1.06) = In (0.94) is-0.0618754. Use this value to compute the absolute error of your computed approximation in (b)

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