Calculus - Limits of Functions
4.7 (2 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
349 students enrolled

Calculus - Limits of Functions

How to Determine the Limit of any kind of Functions
4.7 (2 ratings)
Course Ratings are calculated from individual students’ ratings and a variety of other signals, like age of rating and reliability, to ensure that they reflect course quality fairly and accurately.
349 students enrolled
Created by Dániel Csíkos
Last updated 12/2018
English
English [Auto]
Current price: $27.99 Original price: $39.99 Discount: 30% off
5 hours left at this price!
30-Day Money-Back Guarantee
This course includes
  • 2 hours on-demand video
  • 9 articles
  • 15 downloadable resources
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
Training 5 or more people?

Get your team access to 4,000+ top Udemy courses anytime, anywhere.

Try Udemy for Business
What you'll learn
  • How to calculate the limit of any kind of functions
  • Classification of discontinuities
  • How to calculate the limits of fractions
  • How to deal with square roots
  • How to calculate the limits of trigonometric functions
  • How to use Euler's number (e) to determine limits
  • How to apply the L'Hospital rule
  • Useful tricks
Requirements
  • An average highschool level mathematics knowledge
  • A desire to get better in mathematics
  • A knowledge of the limits of sequences is advantageous but not necessary
Description

Welcome!

By completing this course, you are going to be able to determine the limit of any kind of function. I'm going to show you the necessary theoretical background in a nutshell. Then I show you lots of practical examples! I believe that you should always learn through solving problems! That's why I made this course practical and I also give you a chance to practice on your own!

I dedicate a separate section to the different kinds of functions. In every section, I show you how to deal with a basic function of that kind, and then I show more and more complicated numerical examples. These sample problems are going to help you understand what you have to do! Finally, there is always a checkpoint at the end of a section to test your knowledge!

I believe in learning through examples so the course is highly practical. If you want to practice even more, you can stop the videos and make an effort of solving the numerical examples by yourself! Or at least you can solve the problems I give you at the checkpoints!

You don't need much of a prior knowledge to take this course. If you know the basic operations and some details about the basic functions, you are good to go! I'm going to clear the necessary details during the lectures, so do not worry about the challenge!

This course is primarily designed for university/college students who are learning Calculus and have to deal with limits of functions. If you are struggling with this topic, let me help you! Here you are going to get every help that you possibly need! If you have already completed this topic but you feel like you need to practice the basics, you are also welcome in this course!

I hope I can help you with this course just like I've already helped more than 5800 students with my other courses! I can't wait to see you inside! Have fun and learn a lot!

Who this course is for:
  • Anyone who is about to take a test/exam in the topic of Limits of Functions
  • Anyone who is currently learning Calculus
  • Anyone who is interested in the calculation of limits
Course content
Expand all 35 lectures 01:56:07
+ Theoretical introduction
5 lectures 14:20

Brief introduction of functions. Differences and connections to sequences.

Preview 02:10

The mathematical and "non-mathematical" definition of limits. Main types of limits.

Definition of limits
04:02

Special polynomial, exponential and trigonometric limits.

Special limits
02:52

Operation laws. Consequences of the operation laws.

Fundamental operations
05:10

Sample problems for you!

Checkpoint - Basic functions
00:06
+ Limits of fractions
4 lectures 12:37

Sample problem of the limits of polynomial fractions at infinity.

Preview 02:29

Sample problem of the limits of polynomial fractions.

Limits of fractions – 2. Example
04:08

Sample problem of the limits of fractions.

Limits of fractions – 3. Example
05:54

Sample problems for you!

Checkpoint - Limits of fractions
00:06
+ Getting rid of square roots
3 lectures 09:32

Basic trick to solve troublesome limits that contain square roots.

Getting rid of square roots – 1. Example
03:21

Additional sample problem of dealing with troublesome limits containing square roots.

Getting rid of square roots – 2. Example
06:05

Sample problems for you!

Checkpoint - Getting rid of square roots
00:06
+ Classification of discontinuities
5 lectures 25:50

Classification of discontinuities. Removable, jump and nonremovable discontinuities.

Classification of discontinuities
04:04

Sample problem of investigating the discontinuities.

Investigation of discontinuities – 1. Example
08:32

Sample problem of investigating the discontinuities.

Investigation of discontinuities – 2. Example
07:53

Sample problem of investigating the discontinuities.

Investigation of discontinuities – 3. Example
05:15

Sample problems for you!

Checkpoint - Classification of discontinuities
00:06
+ Trigonometric functions
4 lectures 13:05

Sample problem of calculating the limits of functions including trigonometrical functions.

Preview 02:14

Sample problem of calculating the limits of functions including trigonometrical functions.

Trigonometric functions – 2. Example
04:56

Sample problem of calculating the limits of functions including trigonometrical functions.

Trigonometric functions – 3. Example
05:49

Sample problems for you!

Checkpoint - Trigonometric functions
00:06
+ Limits based on Euler's number (e)
4 lectures 11:50

Sample problem of calculating the limits of functions based on Euler's number.

Preview 04:58

Sample problem of calculating the limits of functions based on Euler's number.

Limits based on Euler's number (e) – 2. Example
04:08

Sample problem of calculating the limits of functions based on Euler's number.

Limits based on Euler's number (e) – 3. Example
02:38

Sample problems for you!

Checkpoint - Limits based on Euler's number (e)
00:06
+ L’Hospital (Bernoulli-L’Hospital) rule
7 lectures 26:21

Introduction of the L'Hospital rule.

L’Hospital rule
03:49
Basic derivatives and rules
00:15

Sample problem of calculating troublesome limits with the help of the L'Hospital rule.

L’Hospital rule – 1. Example
03:01

Sample problem of calculating troublesome limits with the help of the L'Hospital rule.

L’Hospital rule – 2. Example
05:38

Sample problem of calculating troublesome limits with the help of the L'Hospital rule.

L’Hospital rule – 3. Example
05:05

Sample problem of calculating troublesome limits with the help of the L'Hospital rule.

L’Hospital rule – 4. Example
08:26

Sample problems for you!

Checkpoint - L’Hospital rule
00:06
+ Thank you!
2 lectures 00:51
Thank you!
00:25
Bonus Lecture: If you want more
00:26