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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.

Find the limit at a vertical asymptote of a rational function I — free printable Calculus math worksheetOpen in KiwiBee to download

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.

Math
Calculus
High School
Worksheets
Ages 14–18
hard

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

Answer key for Find the limit at a vertical asymptote of a rational function I — free printable Math worksheet

How to use this worksheet

  1. Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Use the included answer key to mark it in seconds.

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