#1603 · Real Analysis · Series

Logarithm as a Power Series

Show that $\frac{a - b}{a} + \frac{1}{2} (\frac{a - b}{a})^{2} + \frac{1}{3} (\frac{a - b}{a})^{3} + \dots = lo g_{e} a - lo g_{e} b$ .

~8 minProof · checked by AIlogarithmic series

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XVII. Exponential and Logarithmic Series, Examples XVII, No. 5

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