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 2.1.1-14.
2. Given the limits of three functions, find combinations of the limits. Five parts. Look at problem 2.2.3.
3. Use the definition of continuity to show that the given function is continuous at the indicated point.
4. Find the indicated limits. Ten parts. Look at problems 2.2.5-34,
5. Find the indicated limits. Five parts. Look at problems 2.3.5-28, 31-34
6. Find the indicated trigonometric limits. Seven parts. Look at problems 2.6.13-35.
7. Use the definition of a limit to prove a limit. Look at problems 2.4.19-30.
8. Use your calculator to complete the table and find the limit. Look at problems 2.1.19-22, 2.6.36-39.
9. 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

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