Power Series Expansion for Logarithm of 1 + x/Corollary

Corollary to Power Series Expansion for $\ln \left({1 + x}\right)$
valid for $-1 < x < 1$.

Proof
By Power Series Expansion for $\ln \left({1 + x}\right)$:


 * $\displaystyle \ln\left({1 + x}\right) = \sum_{n \mathop = 1}^\infty \left({-1}\right)^{n - 1} \frac {x^n} n$

Then: