After completing this section, students should be able to do the following.Consider values of a function at inputs approaching a given point.Understand the concept of a limit.Use limits to understand local behavior of functions.Calculate limits from a graph (or state that the limit does not exist).Understand possible issues when estimating limits using nearby values.Define a one-sided limit.Explain the relationship between one-sided and two-sided limits.Distinguish between limit values and function values.Identify when a limit does not exist.Define continuity in terms of limits.Use the continuity of famous functions (on their domains) when computing limits.
Ohio Transfer Module Mathematics, Statistics, and Logic (TMM) Standards
Core TMM005 Outcome: Core skill demonstrated by students who successfully complete a Calculus I Course
Standard: Determine the existence of, estimate numerically and graphically and find algebraically the limits of functions. Recognize and determine infinite limits and limits at infinity and interpret them with respect to asymptotic behavior.