Math 141, Spring 2016, Assignment 10

The moving power of mathematical invention is not reasoning but the imagination.

- Augustus de Morgan

Carefully state the following tests for convergence:

1. Divergence test.
2. Geometric series test.
3. Integral test.
4. $p$-series test.
5. Comparison test.

Solve the following problems:

1. Section 8.2, problems 15, 17, 21, 22, 33, 35, and 44.
2. Section 8.3, problems 7, 9, 13, 15, 17, 19, and 21.

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