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In this lesson I discuss the second, very basic method for computing certain limits of sequences that involve a difference with radicals.

You will learn how to effortlessly distinguish the two versions (easier and harder) of limits that are solved using multiplication by the conjugate.

This lesson lasts almost 36 minutes and I present 8 step-by-step examples.

Table of Contents:

• overview: when we apply the method [01:30]
• multiplying by the conjugate with square roots – example 1 [02:41]
• multiplying by the conjugate with square roots – example 2 [07:48]
• multiplying by the conjugate with square roots – example 3 [10:31]
• multiplying by the conjugate with square roots – example 4 [14:24]
• multiplying by the conjugate with square roots – example 5 [20:27]
• multiplying by the conjugate with square roots – example 6 [24:11]
• multiplying by the conjugate with a cube root – example [27:56]
• using two methods at once – example [30:45]

Dubbed Version (Krystian AI):

AI Voice-over Version:

Original Version with Subtitles:

Formulas needed for the Lesson

Download limit formulas (PDF)

Download trigonometric tables (PDF)

Homework

Download Homework (PDF)

Download Answers to Homework (PDF)

Articles and blog posts related to this lesson

• “Limits with Cube Roots (Multiplication by the Conjugate, perhaps?)”