Use the integral test to determine whether each of the following series converges or diverges. For each, fill in the integrand and the value of the integral. Enter diverges if the integral diverges. Then indicate the convergence of the sum.

A. $\sum\limits_{n=1}^{\infty} {1\over 3^n}$
Compare with $\int_c^{\infty}$ $dn$ =
(Evaluate your integral with bottom limit $c = 1$.) This sum
A. converges
B. diverges

B. $\sum\limits_{n=1}^{\infty} {n+3\over n^2 + 6 n + 8}$
Compare with $\int_c^{\infty}$ $dn$ =
(Evaluate your integral with bottom limit $c = 1$.) This sum
A. converges
B. diverges