Here Are the problems:

2. (10 points) Show that the following infinite series converges by the integral test and use it to find a lower bound for the sum. Be careful to make an accurate, justifiable estimate of the lower bound. In n n=1 n21. (10 points) Assume that both of the infinite series En- 6,, and En- an/b,, converge, where a,, > 0 and b,, > 0 for all n = 0, 1,2, .... Yes, or no, is it true that always converges. If yes, explain why, and if no, show an example where _na,, does not converge