Answer all

5) Consider the fifth degree Taylor polynomial centered at c = 3, T(x), used to approximate the function g(x). T(x) = 11+ 2(x - 3) - 6(x - 3)' + 1/2(x - 3)" - (x- 3)5 Find... (a) g(3) (b) g"(3) (c) g'(3) (d) g(3) 6) Determine the interval of convergence for each given power series. (-3 ) " - 1 -x" n ( b ) * + * - + ... + - n + 2 5+ ... (c) (-1) " X 24+ 1 no (2n + 1)