
Find the limit at a vertical asymptote of a rational function II
Free printable Calculus math worksheet for "Find the limit at a vertical asymptote of a rational function II" — practice infinite limits. No-prep, print or assign online.
This worksheet provides challenging problems focused on finding limits at vertical asymptotes of rational functions, enhancing students' understanding of infinite limits. Teachers can use it to reinforce calculus concepts and prepare students for advanced problem-solving. The exercises promote critical thinking about function behavior near discontinuities and support mastery of limit evaluation techniques.
Learning objectives
- Determine the behavior of rational functions near vertical asymptotes using limits
- Analyze and evaluate infinite limits involving complex rational expressions
- Interpret the graphical implications of limits approaching vertical asymptotes
Answer Key

How to use this worksheet
- Click “Download Worksheet” to get the PDF — free with a KiwiBee account (up to 25 downloads a month).
- Print at home or in class for High School; it's no-prep, with no extra materials needed.
- Use the included answer key to mark it in seconds.
Frequently asked questions
Is the “Find the limit at a vertical asymptote of a rational function II” worksheet free?
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What grade or age is this Math worksheet for?
It's designed for High School (ages 14–18), covering Infinite limits.
Does it come with an answer key?
Yes — a matching answer key is included so you can grade it in seconds.
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