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

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

🔒

Only for logged-in users (account is free)

You need to create a free account to access this lesson.

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.

From it you will learn, among other things, how to grasp in a simple way what the limits of sequences are and how helpful that understanding is when computing them.

You will also become familiar with two fundamental, elementary limit formulas—used at virtually every turn—whose very existence many beginners are unaware of when they start learning.

Table of Contents

  • Intuitive overview of the limit of a sequence and its formal definition [02:26]
  • Sequences – five examples [12:22]
  • Indeterminate forms [22:53]
  • Factoring out the highest power - 20 examples [25:50]
  • Factoring out the highest power in exponential functions – 3 examples [01:00:51]
  • Factoring out the highest power in factorial examples – 2 examples [01:08:07]

Lesson tags: Analiza, Free Lessons, granicel1
Back to: Limits Course