Compute the value of the following improper integral. If it is divergent, type "Diverges" or "D". $$\int_1^{\infty} \frac{2}{x^2 + 9}\,dx$$ Answer:

Using the improper integral from above and the Integral Test, determine whether the following series converges or diverges. Answer "Converges" or "Diverges."
$$\sum_{n=1}^{\infty} \frac{2}{n^2 + 9}$$ Answer: ? Converges Diverges

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