Series and Improper Integrals



Series and Improper Integrals Section 9.2

1. Show that the series [pic] converges by comparing it to the improper integral [pic].

2. Show that the series [pic] diverges by comparing it to the improper integral [pic]

3. Show that the series [pic]diverges for [pic].

4. Use the integral test to determine if the series converge.

A. [pic]

B. [pic]

5. A. Does the series [pic]converge? You must give a mathematically valid reason for your answer.

B. Does the series [pic]converge? You must give a mathematically valid reason for your answer.

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