Lesson 1 – Introduction to limits of sequences. Factoring out the highest power.

This lesson introduces the topic of limits of sequences. Right away I demonstrate the first, fundamental technique for computing those limits — factoring out the highest power. <br><br> From it you will learn, among other things, how to grasp in a simple way what the limits of sequences are and how <strong>helpful</strong> that understanding is when computing them.<br><br> You will also become familiar with two fundamental, elementary limit formulas—<strong>used at virtually every turn</strong>—whose very existence many beginners are unaware of when they start learning.<br><br> <h3>Table of Contents</h3> <ul> <li>Intuitive overview of the limit of a sequence and its formal definition [02:26]</li> <li>Sequences – five examples [12:22]</li> <li>Indeterminate forms [22:53]</li> <li>Factoring out the highest power - 20 examples [25:50]</li> <li>Factoring out the highest power in exponential functions – 3 examples [01:00:51]</li> <li>Factoring out the highest power in factorial examples – 2 examples [01:08:07]</li> </ul>