I have this problem, that appears as if the root test would apply, however I'm not sure.
The problem reads: Determine whether this series converges or diverges
$$\sum_{n=1}^\infty ne^{-.02n}$$
If it's not the root test, which other test would be applied for this? These limits just confuse me, because I feel like there are many tests that I could run, but I'm not quite sure which one would be the most appropriate to run.
Try use the ratio test, this will probably work better!
Reminder: $$\lim_{n \to \infty}|\frac{a_{n+1}}{a_n}| =p$$
If $p<1$ the series converges by the ratio test and if $p>1$ the series diverges by the ratio test.