im struggling a bit on series section, how do you know what the best test for each problem?Select the FIRST correct reason on the list why the given series converges.

a) Geometric series.

b) Comparison with a convergent p series.

c) Integral test.

d) Ratio test.

e) Alternating series test.

1) $\displaystyle \sum_{n=1}^\infty \frac{1}{n\left(ln\left(n\right)\right)^2} $

2) $\displaystyle \sum_{n=1}^\infty \frac{\sin^2 (4 n)}{n^2} $

3) $\displaystyle \sum_{n=1}^\infty\frac{n^2+\sqrt{n}}{n^4 -3}$