**
LEARNING OBJECTIVES**

- Understand the concept of (and notation for) a limit of a rational function at a point in its domain, and understand that “limits are local.”
- Evaluate such limits.
- Distinguish between one-sided (left-hand and right-hand) limits and two-sided limits and what it means for such limits to exist.
- Use numerical / tabular methods to guess at limit values.
- Distinguish between limit values and function values at a point.
- Understand the use of neighborhoods and punctured neighborhoods in the evaluation of one-sided and two-sided limits.
- Evaluate some limits involving piecewise-defined functions.

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