Question

Use the ratio test to determine whether each series is convergent or divergent.
a) 2/5 + 4/10 + 8/15 + ...
b) 4/3 + 4/9 + 4/27 + ...
c) 2/2(3) + 2/3(4) + 2/4(5) + ...
d) 2 + 4/2^2 + 8/3^2 + 16/4^2 + ...
e) 5 + 5(5)/1(2) + 5(5)(5)/1(2)(3) + ...