Select the FIRST correct reason why the given series converges.

A. Convergent geometric series
B. Convergent p-series
C. Integral test
D. Comparison with a convergent p-series
E. Converges by limit comparison test
F. Converges by alternating series test

1. $\displaystyle \sum_{n=2}^\infty \frac{6}{n (\ln (n))^2 }$
2. $\displaystyle \sum_{n=1}^\infty \frac{n^2+ \ln(n)}{n^2-8^n}$
3. $\displaystyle \sum_{n=1}^\infty \frac{\sin^2 (7 n)}{n^2}$
4. $\displaystyle \sum_{n=2}^\infty \frac{n^2+\sqrt{n}}{n^4-2}$
5. $\displaystyle \sum_{n=1}^\infty \left( \frac{-e }{ \pi} \right)^n$
6. $\displaystyle \sum_{n=1}^\infty \frac{(-1)^n}{3 n + 6}$