Math 121 - Exam 2 Study Guide

1. 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
2. Given the limits of three functions, find combinations of the limits. Five parts. Look at problem 2.2.1
3. 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
4. Find the indicated limits. Ten parts. Look at problems 2.2.3-30
5. Find the indicated limits at infinity. Five parts. Look at problems 2.3.7-28, 33-36
6. Find the indicated trigonometric limits. Seven parts. Look at problems 2.6.11-32
7. Use the definition of a limit to prove a limit. Look at problems 2.4.21-26, 29-34
8. Use your calculator to complete the table and find the limit. Look at problems 2.1.13-16
9. 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

 # Pts 1 2 3 4 5 6 7 8 9 Total 13 10 6 30 10 14 5 4 8 100