(Solved): Determine whether the series is convergent or divergent. \[ \sum_{n=1}^{\infty} \frac{e^{n}}{n^{7} ...

Determine whether the series is convergent or divergent. \[ \sum_{n=1}^{\infty} \frac{e^{n}}{n^{7}} \] convergent divergent If it is convergent, find its sum. (If the quantity diverges, enter DIVERGES.) \( -12 \) Points] SESSCALCET2 8,2,524,XP. Determine whether the series is convergent or divergent. \[ \sum_{n=1}^{\infty} \frac{n+5}{3 n-1} \] convergent divergent If it is convergent, find its sum. (If an answer does not exist, enter DNE.)