#1601 · Real Analysis · Series

Logarithmic Difference Expansion

Show that $lo g_{e} (n + a) - lo g_{e} (n - a) = 2 (\frac{a}{n} + \frac{a ^{3}}{3 n ^{3}} + \frac{a ^{5}}{5 n ^{5}} + \dots)$ .

~10 minProof · checked by AIlogarithmic seriesseries expansion

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XVII. Exponential and Logarithmic Series, Examples XVII, No. 3

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