## 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

1. True or false. Ten parts. Look at supplemental problem 9
2. Find the sum of the series by associating it with some Maclaurin series. Look at supplemental problem 25
3. The first n derivatives of a function are given. Find the nth degree Maclaurin and Taylor series for the function.
4. Find a Maclaurin series for the given binomial.
5. Find the radius and intervals of convergence. Two parts.
6. Use a Maclaurin series to approximate a value to three decimal-place accuracy. Check your answer against your calculator.
7. 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.
8. Use a Maclaurin series to approximate an integral to three decimal-place accuracy.
9. 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.
10. 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