Limits at Infinity – Polynomial Functions Worksheet

Limits at infinity practice worksheet: ten problems where students find each limit as x approaches positive or negative infinity and name the horizontal asymptote where one exists.
Year levels
Years 10–12
File type
PDF
Preparation
Print ready

Updated Oct 26, 2026

Subject
Maths
Topic
Limits, Calculus
Resource types
Worksheets
Preparation
Print ready

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About this resource

Calculating the limit of polynomial functions, as the function approaches either to positive or negative infinity.

In the classroom

Teaching tips & learning objectives

Learning objectives

  • Evaluate limits of polynomial, rational and radical functions as x approaches positive or negative infinity

  • Identify horizontal asymptotes from limits at infinity

Skills covered

  • Handling harder expressions — working limits of degree 5, 6 and 7 polynomials and rational expressions that contain radicals

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Resource details

Concepts & topics

Core concepts

  • Limits at infinity

  • Horizontal asymptotes

  • Rational functions

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