OML Search

Limits in Calculus

Related Topics:
More Lessons for Calculus
Math Worksheets



A series of free Calculus Video Lessons from UMKC - The University of Missouri-Kansas City.

Calculus 1 - Lecture 4 - Intuitive Beginning - Limits

This lecture covers limits - two sided & one-sided limits, limits that fail to exist, limits at infinity

Intuitive Beginning

  • A New Tool: The "Limit" [24 min.]
  • Some Limit Examples [6.5 min.]
  • Two-sided & One-sided Limits [17 min.]
  • Limits that Fail to Exist: When f(x) grows without bound [9 min.]
  • Limits at Infinity: When x grows without bound [11.5 min.]
  • More Limits that Fail to Exist: Infinity & Infinite Indecision [6 min.]
  • An Exercise on Limits [5 min.]



Calculus 1  Lecture 5 - 6 Algebra of Limits

The Algebra of Limits as x -> a 

  • Basic Limits [7.5 min.]
  • Limits of Sums, Differences, Products, Quotients, & Roots [11 min.]
  • Limits of Polynomial Functions [7 min.]
  • Limits of Rational Functions & the Apparent Appearance of 0/0 [17 min.]
  • Limits of Piecewise-Defined Functions: When One-sided Limits Matter! [12 min.]
  • Some Exercises [11 min.]

The Algebra of Limits as x -> +/- infinity : End Behavior 

  • Basic Limits [4.5 min.]
  • Limits of Sums, Differences, Products, Quotients, & Roots [10 min.]
  • Limits of Polynomial Functions: Two End Behaviors [9 min.]
  • Limits of Rational Functions: Three Types of End Behavior [16 min.]
  • Limits of Functions with Radicals [9.5 min.]
  • Some Exercises [6.5 min.]
  • Limits of ln(x), ex, and More [7 min.]


Try out our new and fun Fraction Concoction Game.

Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.

Fraction Concoction Game


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.