Specific Expectations

By the end of the course, students will…

• recognize, through investigation with or without technology, graphical and numerical examples of limits, and explain the reasoning involved (e.g., the value of a function approaching an asymptote, the value of the ratio of successive terms in the Fibonacci sequence)

Learning Goals

By the end of the lesson, students will…

• Understand that substitution does not always work in finding a limit and may result in an indeterminate form (0/0)
• Rationalize the numerator when it is necessary to find the limit
• Break apart a absolute value expression into cases when evaluating a limit that involves an absolute value expression

Success Criteria

I can…

• Evaluate limits that involve the use of factoring, rationalizing, one-sided limit cases, and changing the variable

Check your understanding by completing the following exercises. Some of the questions involve concepts from previous lessons on limits, so make sure to review them if you’ve forgotten some of the concepts.

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Knowledge Check

Here is extra practice on evaluating limits that involve the techniques that were covered in this lesson.