Power Series Expansion for Logarithm of 1 + x/Corollary

Corollary to Power Series Expansion for $\ln \paren {1 + x}$
valid for $-1 < x < 1$.

Proof
By Power Series Expansion for $\ln \paren {1 + x}$:


 * $\displaystyle \ln \paren {1 + x} = \sum_{n \mathop = 1}^\infty \paren {-1}^{n - 1} \frac {x^n} n$

Then: