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ln(1+x)-ln(1-x) (English)

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Definition (advanced level)

For any x with - x - <1,

ln




1+ x

1 − x




= 2




x +

x³

3

+

x⁵

5

+

x⁵

7

+ ... +

x^{2 n + 1}

2 n + 1

+ ...




Relations

broader:: (en) Logarithm power series
references:: (en) ln

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