Using the geometric series for

MATHEMATICS · Subjective · AP · Calculus BC · Infinite Sequences and Series · Infinite Sequences and Series

Problem

Using the geometric series 11+x=∑n=0∞(−1)nxn\displaystyle \frac{1}{1+x}=\sum_{n=0}^{\infty}(-1)^n x^n for ∣x∣<1|x|<1, find the first three nonzero terms and the general term of the Maclaurin series for ln⁡(1+x)\ln(1+x).

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