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For each series, enter C if it is convergent, and D if it is divergent.

1. $\displaystyle \sum_{n=2}^\infty \frac{9}{10 n \ln (n)}$
2. $\displaystyle \sum_{n=1}^\infty \frac{n^{3} }{n^{5} +3}$
3. $\displaystyle \sum_{n=1}^\infty \frac{5 }{n^5 +n^{10}}$
4. $\displaystyle \sum_{n=1}^\infty \frac{6 + 3 ^n}{8 ^n}$
5. $\displaystyle \sum_{n=1}^\infty n e^{-n^2}$

To get full credit, all answers must be correct. Having all but one correct is worth 50%. Two or more incorrect answers gives a score of 0%.