## Math 122 - Chapter 11 Project / Study Guide

### Divergence Test (11.4.1) - Tarin

**Assigned problems** - 11.4: 6, 10, 16
- Only tell whether it diverges or unable to tell for this section.
- Due Tuesday, March 23. Turn in at desk, if not at desk, go to office.

### Integral Test (11.4.4) - Jeff

**Assigned problems** - 11.4: 8a, 12, 16
- Due Thursday, March 25.

### Comparison Test (11.6.1) - Matt

**Assigned problems** - 11.6: 2b, 22, 26
- Due Tuesday, March 30.

### Limit Comparison Test (11.6.4) - Aaron

**Assigned problems** - 11.6: 6, 10, 28
- Due Tuesday, March 30.

### Ratio Test (11.6.5) - Jacob

**Assigned Problems** - 11.6: 12, 16, 34
- Due Tuesday, March 30.

### Root Test (11.6.6) - Byron

**Assigned Problems** - 11.6: 18, 20, 16
- Due Tuesday, March 30.

### Alternating Series Test (11.7.1) - Katy

**Assigned Problems** - 11.7: 14, 28, 30
- Due Thursday, April 8.

### Ratio Test for Absolute Convergence (11.7.5) - Josh

**Assigned Problems** - 11.7: 8, 10, 12
- Due Tuesday, April 13.

## In-class portion of exam

- True or false. Ten parts. Look at supplemental problem 9
- Find the sum of the series by associating it with some Maclaurin series. Look at supplemental
problem 25
- The first n derivatives of a function are given. Find the nth degree Maclaurin and Taylor
series for the function.
- Find a Maclaurin series for the given binomial.
- Find the radius and intervals of convergence. Two parts.
- Use a Maclaurin series to approximate a value to three decimal-place accuracy. Check your
answer against your calculator.
- Obtain the first four non-zero terms of a Maclaurin series by making an appropriate
substitution into a known series. State the radius of convergence of the series.
- Use a Maclaurin series to approximate an integral to three decimal-place accuracy.
- Approximate the ln of a value using Gregory's method (page 681-682). The series is given on
the test, you just need to be able to use it.
- Identify each series as convergent, conditionally convergent, or divergent. Justify your
answer. Four parts. Two points each for identifying the correct convergence and one point
for the justification.

# |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Total |

Pts |
10 |
4 |
6 |
4 |
8 |
4 |
4 |
4 |
4 |
12 |
60 |