Evaluate ∑n=2∞ln(1−1n2)\sum_{n=2}^{\infty} \ln\left( 1 - \frac{1}{n^2} \right)∑n=2∞ln(1−n21).
ln(1/2)\ln(1/2)ln(1/2)
−ln(2)-\ln(2)−ln(2)
000
Diverges