After completing this section, students should be able to do the following.

• Consider values of a function at inputs approaching a given domain number.
• 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.