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

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