# Limits in Calculus

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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.]

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