Description
This bundle contains the following resources:
- 6 pages of lesson notes on limits to be used by the teacher
- Introduction to Limits worksheet + key
- One-sided Limits worksheet + key
1. The lecture /lesson file (pdf) can be used as a lesson on introduction to limits.
Topics covered include:
- Definition of the Limit
- One-sided Limits
- Vertical Asymptotes (Using Limits - infinite limits)
Plus: many examples regarding these topics throughout.
2. The first worksheet contains 20 introduction to limit problems. It can either be used as classwork, homework, or even a quiz/test. This worksheet is ideal for distributing after the definition of the limit has been introduced. Some limits can be evaluated by a direct substitution. Some limits will give an indeterminate form of type 0/0, so a manipulation of the function (ex. factoring and cancelling, rationalizing) is necessary.
It contains the following types of two-sided limit questions:
- Evaluating limits of polynomials by direct substitution
- Evaluating limits of rational functions by direct substitution
- Evaluating limits of root functions by direct substitution
- Evaluating limits of piece-wise functions by direct substitution
- Evaluating limits of rational functions via factoring, then cancelling out common factors
- Evaluating limits of functions by rationalizing the numerator (or the denominator), then simplifying the expression
*Answer key is also included.
3. The second worksheet contains 15 one-sided limit problems (some with multiple parts).
It can be used as classwork, homework, or even a quiz/test.
It contains the following types of limit questions:
- Evaluating one-sided limits of functions by direct substitution
- Evaluating one-sided limits of functions involving absolute value symbols
- Evaluating one-sided limits of piece-wise functions
- Evaluating one-sided limits of functions given their graphs
- Evaluating one-sided limits whose answers are infinity (infinite limits)
*Answer key is also included.
Typed in LaTeX for a beautiful and professional look.
You may also be interested in the following limit worksheets:
Introduction to Limits - Lesson + 2 Printable Worksheets & Keys
Highlights
Description
This bundle contains the following resources:
- 6 pages of lesson notes on limits to be used by the teacher
- Introduction to Limits worksheet + key
- One-sided Limits worksheet + key
1. The lecture /lesson file (pdf) can be used as a lesson on introduction to limits.
Topics covered include:
- Definition of the Limit
- One-sided Limits
- Vertical Asymptotes (Using Limits - infinite limits)
Plus: many examples regarding these topics throughout.
2. The first worksheet contains 20 introduction to limit problems. It can either be used as classwork, homework, or even a quiz/test. This worksheet is ideal for distributing after the definition of the limit has been introduced. Some limits can be evaluated by a direct substitution. Some limits will give an indeterminate form of type 0/0, so a manipulation of the function (ex. factoring and cancelling, rationalizing) is necessary.
It contains the following types of two-sided limit questions:
- Evaluating limits of polynomials by direct substitution
- Evaluating limits of rational functions by direct substitution
- Evaluating limits of root functions by direct substitution
- Evaluating limits of piece-wise functions by direct substitution
- Evaluating limits of rational functions via factoring, then cancelling out common factors
- Evaluating limits of functions by rationalizing the numerator (or the denominator), then simplifying the expression
*Answer key is also included.
3. The second worksheet contains 15 one-sided limit problems (some with multiple parts).
It can be used as classwork, homework, or even a quiz/test.
It contains the following types of limit questions:
- Evaluating one-sided limits of functions by direct substitution
- Evaluating one-sided limits of functions involving absolute value symbols
- Evaluating one-sided limits of piece-wise functions
- Evaluating one-sided limits of functions given their graphs
- Evaluating one-sided limits whose answers are infinity (infinite limits)
*Answer key is also included.
Typed in LaTeX for a beautiful and professional look.
You may also be interested in the following limit worksheets:
