MATH 222 Test 3 Part 2 Name________________

Instructions: Answer all the questions on this part and show your work. You may use the calculator on all of this part.

1. a) Find the first five terms of the following sequence: (14)

b) Find

2. Give an example of a sequence that converges but is not monotonic. (6)

3. Determine if the following infinite series converges absolutely, converges (12) conditionally, or diverges:

4. Find the radius of convergence and interval of convergence of the following power series. (14)

5. Determine whether or not the following infinite series converge. In each case state explicitly which tests or tests you are using and include all necessary limits. (36)

a)

b)

c)

d)