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S = contains supplemental resources
Course: Calculus I
Topic: Limits and Continuity
Subtopic: One-Sided Limits

Overview

We have examined one-sided limits (limits from the left or from the right) graphically, but in this lesson we evaluate them algebraically.

CAUTION: Watch for limits that do not exist because the two side limits don't match.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 1.6.1 Use correct mathematical notation throughout the process of evaluating a one-sided limit algebraically
• 1.6.2 Algebraically evaluate one-sided limits, both those that do or do not exist
• 1.6.3 Algebraically evaluate a limit based on the results of its two corresponding one-sided limits

Terminology

Define: one-sided limit, limit from the left, limit from the right, left-handed limit, right-handed limit