#1610 · Real Analysis · Series

Logarithmic expansion and general term

Prove that $lo g_{e} (1 + 3 x + 2 x^{2}) = 3 x - \frac{5 x ^{2}}{2} + \frac{9 x ^{3}}{3} - \frac{17 x ^{4}}{4} + \dots$ ; and find the general term of the series.

~12 minAnswer checked instantlyLogarithmic seriesGeneral term

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XVII. Exponential and Logarithmic Series, Examples XVII, No. 12

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).