Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test. If at least one test can be applied to the series, decide whether it converges or diverges. Otherwise, say that neither test applies. 1. Σ infinity n = 1(-1)n/4n.
2. Σ infinity n = 1 7n^6/n^10 + 3.
3. Σ infinity n = 1 6n^10 - n^7 + 7underoot n/4n^12 - n^6 + 4.
4. Σ infinity n = 1 cos2(n) underroot n/n^6.
5. Σ infinity n = 1 cos(n) underroot n/7n + 3.