Limits of Rational Functions - Fractions and Square Roots

This calculus video tutorial explains how to evaluate the limit of rational functions and fractions with square roots and radicals. It provides a basic review of what you need to do to find the limit. Whenever you a complex fraction, you should multiply it by the common denominator. If you have radicals and square roots, you should multiply by the conjugate. This video contains plenty of examples and practice problems for you to work on.

Limits - Free Formula Sheet:

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Introduction to Limits:

How To Evaluate Limits from a Graph:

Evaluating Limits by Factoring:

Limits of Rational Functions:

Limits of Radical Functions:

Limits of Trigonometric Functions:

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How To Find the Limit at Infinity:

Infinite Limits + Vertical Asymptotes:

Limits at Infinity with Radicals:

Limits of Absolute Value Functions:

Limits of Composite Functions:

The Squeeze Theorem:

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Limits and Logarithms:

Limits of Exponential Functions:

Piecewise Functions - Limits:

3 Step Continuity Test:

Continuity and Differentiability:

Limits - Test Review:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

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[georgesadler]

MR. Organic Chemistry Tutor, thank you for explaining Limits of Rational Functions in Calculus. The first example can be factored. X - 4 can be factored into the square root of x minus 2 times square root of x plus 2 on the denominator. By cancelling square root of x minus 2 on the numerator and denominator yields the same solution in the video.

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can we have a video of this topic but with x -> infinity

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[erazn]

I was confused on when i should foil/multiply the stuff underneath the fraction, but i realised that when the denominator has problem areas, like a variable that can equal 0, we need to get rid of that variable, and multiplying it by the other term isn’t gonna help. The point is to cancel it out.

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