M150B Lab

Assignment #2

Feb 28, 2008

Part 1:

Let be a sequence such that

An infinite series is the sum

This sum could be infinite. If the sum is finite, we say the series converges.

The geometric series

converges if

The series does not converge. See what happens if you try to

use Scientific Notebook to compute

Next try evaluating

Review convergence tests (such as the Ratio Test, Integral Test, Root Test, Alternating Series Test, P-test, etc).

Exercises: Try to evaluate the following series given below, when possible.

Explain which of the convergence tests that you learned in Calculus can be used to explain your results.

1.

2.

3.

4.

5.

6.

7.