Math 121: Chapter 1 Exam Study Guide

  1. Use the graph of y = f(x) to find the indicated values. These may include one-sided and two-sided limits, the value of a function, and points of discontinuity. 8 parts.
  2. Use the graph of y = f(x) to find the indicated values. These may include one-sided and two-sided limits, the value of a function, and points of discontinuity. 6 parts.
  3. Use your calculator to approximate the limit numerically. You do not have to make a table like the problems in the text. Make sure your calculator is in radian mode. 3 parts.
  4. Find the limit. Many/most of these can be done without showing work. 16 parts.
  5. Determine where there are any discontinuties and whether they are removable or non-removable. 2 parts.
  6. Find the limit and show work (even if you can do it without showing work). I will be grading the work on these. Be sure to write the "lim" until you actually find the limit. Also make sure your work is correct; don't do illegal things like squaring an expression or taking the square root of each term of a sum. 5 parts.
  7. Use the ε-δ definition to prove a limit. The definition is not given on the exam, you need to know what it is. Also note that this is not going to be finding the limit of a linear expression, so be sure to focus on those involving picking an arbitrary δ.

Notes

Points per problem

# 1 2 3 4 5 6 7 Total
Pts 8 6 9 48 6 24 5 106