Question: Replace x by x ( - 1 ) k + 1 k - 1 in the series In (1 + x) =3 > X k

 Replace x by x ( - 1 ) k + 1

k - 1 in the series In (1 + x) =3 >

Replace x by x ( - 1 ) k + 1 k - 1 in the series In (1 + x) =3 > X k to obtain a power series for In centered at x = 5. What is the interval of convergence for the new power series? K = 1 Choose the correct power series below. 0o O A. 3 ) ( - 1 ) * + O B. 3 (-1) K + 1 ( x - 1 ) k k =1 5 " k k K = 1 OC. 3 ) ( - 1 ) " OD. 3X (- 1) (x-5)k k =1 5 k k k =1 The interval of convergence is (Simplify your answer. Type your answer in interval notation.)

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