Use the power series representation for f(x) = ln(1 + x), shown below, to find 1 d a power series representation for g(c

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Use The Power Series Representation For F X Ln 1 X Shown Below To Find 1 D A Power Series Representation For G C 1 (86.87 KiB) Viewed 18 times

Use the power series representation for f(x) = ln(1 + x), shown below, to find 1 d a power series representation for g(c) [In(1 + x)] on the 1 +3 doc interval (-1,1). un f(x) = ln(1 + x) = 5 (-1)+1 Σ22 on the interval -1<x<1 n n=1 g(x) = (-1)7+1.2.1-1 n-1 00 g(x) = (-1)"z"- n=1 g(t) = (-1)"," Σ(α n=1 9(x) = (-1) +1_2"+1 * n(n+1) 71-1 g(x) = (n - 1)(-1)"3"-1 Ž (-1". 1