The Calculus I course was developed through the Ohio Department of Higher Education OER Innovation Grant. This work was completed and the course was posted in February 2019. The course is part of the Ohio Transfer Module and is also named TMM005. For more information about credit transfer between Ohio colleges and universities, please visit: www.ohiohighered.org/transfer.Team LeadJim Fowler Ohio State UniversityRita Ralph Columbus State Community CollegeContent ContributorsNela Lakos Ohio State UniversityBart Snapp Ohio State UniversityJames Talamo Ohio State UniversityXiang Yan Edison State Community CollegeLibrarianDaniel Dotson Ohio State University Review TeamThomas Needham Ohio State UniversityCarl Stitz Lakeland Community CollegeSara Rollo North Central State College
After completing this section, students should be able to do the following.Recognize when a limit is indicating there is a vertical asymptote.Evaluate the limit as xx approaches a point where there is a vertical asymptote.Match graphs of functions with their equations based on vertical asymptotes.Discuss what it means for a limit to equal ∞∞.Define a vertical asymptote.Find horizontal asymptotes using limits.Produce a function with given asymptotic behavior.Recognize that a curve can cross a horizontal asymptote.Understand the relationship between limits and vertical asymptotes.Calculate the limit as xx approaches ±∞±∞ of common functions algebraically.Find the limit as xx approaches ±∞±∞ from a graph.Define a horizontal asymptote.Compute limits at infinity of famous functions.Find vertical asymptotes of famous functions.Identify horizontal asymptotes by looking at a graph.Identify vertical asymptotes by looking at a graph.