Introduction to Limits - Worksheet 3 - 12th Grade
EasyEvaluate limits numerically, graphically, and analytically (Easy)
18 problems · 20-25 minutes · Skills: limits, calculus, functions
About This Worksheet
This easy-level worksheet contains 18 problems designed for 12th Grade students practicing introduction to limits. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.
The concept of a limit is the single most important idea in calculus — it is the rigorous foundation of both the derivative and the integral. Developing a strong intuitive sense of what a limit means prepares students to understand why calculus works, rather than just executing procedures.
- Understand the intuitive definition of a limit: the value a function approaches as x approaches a point
- Evaluate limits numerically by computing function values near the target point
- Evaluate limits graphically by reading the behavior of a function graph near a point
- Recognize when a limit does not exist due to oscillation or unbounded growth
- Distinguish between the limit of f at a and the value of f at a
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this introduction to limits - worksheet 3 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this limits & continuity worksheet cover?
This worksheet focuses on limits, calculus, functions. It is designed for 12th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.