Use the integral Test to determine whether the infinite series is convergent.
$$\sum_{n=3}^{\infty} \frac{1}{n^2+9}$$
Fill in the corresponding integrand and the value of the improper integral.
Enter inf for $$\infty$$, -inf for -$$\infty$$, and DNE if the limit does not exist.
Compare with $$\int_{3}^{\infty}$$ ____ dx = ____
By the Integral Test,
the infinite series $$\sum_{n=3}^{\infty} \frac{1}{n^2+9}$$
O A. converges
OB. diverges
