Derive Maclaurin series for $\ln(1+x)$ (#453)

Derive Maclaurin series for $\ln(1+x)$ (#453)

Use ln⁡(1+x)=∑n=1∞(−1)n−1xnn\ln(1+x) = \sum_{n=1}^\infty \frac{(-1)^{n-1} x^n}{n} for ∣x∣<1|x|<1.