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

  • Consider function values nearer and nearer to a given input value.
  • Understand the concept of a limit.
  • Limits as understanding 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.