Limits and Removable Discontinuities Worksheet: Limit at x = 2 — Grade 12
Grade 12 limits and removable discontinuities practice on limit at x = 2. Five tasks with matching answers, teacher guidance, and Letter/A4 printing. Save as PDF from the print window.
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Page layout
0 practice pages · 0 answer pages. Pages are added automatically when needed. Question content and answer keys stay together.
Ready to teach
Ages 17-18 · About 30 minutes · Independent practice
- What students will do
- Distinguish a removable discontinuity, a limit, and a separately assigned value.
- Age and response support
- Read the short model first. Allow oral rehearsal, then request a calculation, text detail, or explicit criterion appropriate to the task.
- Before assigning
- Print student pages separately from answers. Read the scenario and model assumptions before assigning. No external account, equipment, or audio is needed.
- Materials
- Pencil
Continue this learning sequence
Limits and Removable Discontinuities Worksheets for Grade 12 →Independent activity · About 30 minutes · Pencil
About this practice
Grade 12 · Mathematics · Matching answer key included · US Letter and A4
Choose “Save as PDF” in your browser’s print window to keep a copy.
Teaching guide, sample answers and curriculum references
Before you begin
Read or listen to the model and identify what the task asks before responding.
How to use this worksheet
- What is the separately defined value f(2)?
- Evaluate f(3).
- Does changing the function value at just this point necessarily change the limit? Explain.
A common mistake to discuss
No. The limit depends on nearby values, while the point value is defined separately.
What to practice next
Create a different example that preserves the learning goal, and explain how you would check it.
Published 2026-10-23; updated 2026-10-23. Read our editorial policy.
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