recall then first series converges absolutely by direct comparison test by the geometric series.
as for the second one, try Leibniz test.
The first one is pretty easy.
and it is divergent. If it was 0 the test would've been inconclusive. (limit test)
For the second one:
you can see that
and it is decreasing (by drawing the graphic of the function .
We can conclude that it is alternating series which converge.