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Limits practice
This material helps 12th-grade students practice evaluating limits both graphically and algebraically, including limits at infinity. Students analyze various questions, such as limits approaching holes, infinity limits, and understanding limit statements, through step-by-step problem solving.
By Edform · Mathematics · Grade 12 · Published Oct 15, 2026 · New
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Questions
- What is the limit of f(x) as x approaches 2 if the graph of f(x) has a hole at x = 2 but approaches the value 5 from both sides?
- Evaluate the limit: lim(x→∞) (3x² + 2x)/(x² - 5).
- Which of the following statements about limits are true?
- Calculate lim(x→3) (x² - 9)/(x - 3).
- Arrange the following limits in order from least to greatest.
- Match each function with its correct limit as x approaches infinity.
- Fill in the blank: The limit lim(x→a) f(x) exists if and only if the left-hand limit and the right-hand limit at x = a are ___.
- Choose the correct answer: The limit lim(x→∞) (4x + 1)/(2x + 3) is ___.
- Sort the following limits as 'Exists' or 'Does Not Exist'.
- Determine whether each statement about limits is true or false.
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