Section 2.2 The Limit of a Function

Text for Section 2.2 The Limit of a Function

Learning Outcomes

• Using correct notation, describe the limit of a function.
• Use a table of values to estimate the limit of a function or to identify when the limit does not exist.
• Use a graph to estimate the limit of a function or to identify when the limit does not exist.
• Define one-sided limits and provide examples.
• Explain the relationship between one-sided and two-sided limits.
• Using correct notation, describe an infinite limit.
• Define a vertical asymptote.

• A numerical and graphical introduction to limits
• Determining limits algebraically
• Ex: Determine Limits of a Piecewise Defined Function
• Ex:1 One-Sided Limits and Vertical Asymptotes (Rational Function)
• Ex 2: Determine Limits of a Rational Function Analytically
• Ex 3: One-Sided Limits and Vertical Asymptotes (Rational Function)
• Ex 4: One-Sided Limits and Vertical Asymptotes (Tangent Function)