Use the comparison test to determine the convergence or

Question

A. Use the comparison test to determine the convergence or divergence of the series

4 + (1/5) + 0.3 + 1/ (3+√2) + 1/ (9+√3) + 1/ (27+√4) + 1/ (81+√5) +... , showing all work.

B. Use the nth term test to determine the convergence or divergence of the series, showing all work.

_j=1Σ^∞ j² +1/j²         

C. Use the integral test to determine the convergence or divergence of the series, showing all work.

_k=1Σ^∞1/(3k+1)

D. Use the alternating series test to show the convergence or divergence of the series, showing all work.

_i=1Σ^∞ (-1)ⁱ⁺¹(i+3/i²+10)

E. Use the root test to determine the convergence or divergence of the series, showing all work.

_n=1Σ^∞100n/eⁿ