# 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 2.1.1-14.
- Given the limits of three functions, find combinations of the limits. Five
parts. Look at problem 2.2.3.
- Use the definition of continuity to show that the given function is continuous
at the indicated point.
- Find the indicated limits. Ten parts. Look at problems 2.2.5-34,
- Find the indicated limits. Five parts. Look at problems 2.3.5-28, 31-34
- Find the indicated trigonometric limits. Seven parts. Look at problems
2.6.13-35.
- Use the definition of a limit to prove a limit. Look at problems 2.4.19-30.
- Use your calculator to complete the table and find the limit. Look at problems
2.1.19-22, 2.6.36-39.
- Find the points of discontinuity, if any, and determine whether the discontinuities
are removable. Four parts. Look at problems 2.5.13-24, 2.5.29-30.

## Notes

- Most problems are similar to those in the textbook or examples we've worked
out in class.
- Show enough work to convince me you know what you're doing and not just
using the calculator or computer.

## Point values per problem

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

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