# Math 121 - Exam 2 Study Guide

- Given the sketch of a function, find the limits. Also find the value of the
function at certain points and determine if the function is continuous at
those points. Thirteen parts. Look at problems 2.1.1-6
- Given the limits of three functions, find combinations of the limits. Five
parts. Look at problem 2.2.1
- Look at a graph and explain why the function is not continuous at the indicated point. Three parts. Use reasons from the definition 2.51, continuity at a point. Look at problems 2.5.1-4
- Find the indicated limits. Ten parts. Look at problems 2.2.3-30
- Find the indicated limits at infinity. Five parts. Look at problems 2.3.7-28, 33-36
- Find the indicated trigonometric limits. Seven parts. Look at problems 2.6.11-32
- Use the definition of a limit to prove a limit. Look at problems 2.4.21-26, 29-34
- Use your calculator to complete the table and find the limit. Look at problems
2.1.13-16
- Find the points of discontinuity, if any, and determine whether the discontinuities
are removable. Four parts. Look at problems 2.5.11-22, 29-30

## Notes

- Most problems are similar to those from the textbook.

## Point values per problem

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

Pts |
13 |
10 |
6 |
30 |
10 |
14 |
5 |
4 |
8 |
100 |