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b. Write the power series using summation notation. c. Determine the interval of convergence of the series. f(x)= In (1 +9x) Use the following information

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b. Write the power series using summation notation. c. Determine the interval of convergence of the series. f(x)= In (1 +9x) Use the following information to complete parts a. and b. below. f(x)=sm x, a = E '5 ST. The first nonzero term of the series i 1 it The second nonzero term of the series is E [x - 5] . The third nonzero term of the series is - T x - 5 n \"r- b. Write the power series using summation notation. Choose the correct answer below. - 00 J5 (_1)k E 2k 00 1(_1)k 2k+1 {3A. 2 7m[*'] + Z 5 (2w *5 k=0 k=0 oo (_1)k E 2k 00 1 (_1)k E 2k+1 3 E07 (2k)! [*5] + Z 3(2k+1)1 X'E

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