Find the limit at a vertical asymptote of a rational function I
Free printable Calculus math worksheet for "Find the limit at a vertical asymptote of a rational function I" — practice infinite limits. No-prep, print or assign online.
This worksheet focuses on finding limits of rational functions at vertical asymptotes, a key concept in calculus. Teachers can use it to reinforce students' understanding of infinite limits and asymptotic behavior through challenging practice problems. Ideal for high school calculus classes, it supports skill development in analyzing function behavior near discontinuities.
Learning objectives
- Evaluate limits of rational functions as the variable approaches points of vertical asymptotes.
- Identify vertical asymptotes by analyzing the denominator of rational functions.
- Determine the behavior of functions near vertical asymptotes to understand infinite limits.
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.
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Is the “Find the limit at a vertical asymptote of a rational function I” worksheet free?
Yes. “Find the limit at a vertical asymptote of a rational function I” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 25 downloads a month.
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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