# Limits in Mathematics

Indeterminate, infinitesimal, infinite, continuity

Updated on Nov, 2023

Language - English

Lectures -12

Resources -11

Duration -31 mins

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## Course Description

Hi!

My name is Alison.

I'm an analytical person with a science background, that has a passion for complex problem-solving. I have a PhD in Science and I currently work as a Software Developer.

I'm here to teach you Maths, Chemistry, Physics, and Programming.

I present my courses in a clear, logical, and structured way. For every topic, I also include an example or exercise to make sure that it is clear and easy to understand.

Please send me your feedback and let me know if you have any comments, questions or suggestions. I may be able to prepare a course that interests you.

In this specific course, we will learn various concepts about limits in mathematics

1. First, we will talk about what a limit is with an example to understand this
2. Then, we will introduce indeterminate limits, those limits which we cannot predict mathematically. We will show various examples to demonstrate how we can solve these types of limits
3. We will then talk about infinitesimal limits and how we can calculate their principal part and order
4. We will also see what are infinite limits with an example
5. Finally, we will discuss how to determine if a function is continuous or not at a point, by analysing its lateral limits. We will see an example of a function that is continuous at one point and not continuous at another.

I hope you enjoy this course, find it easy, and learn a lot with me

Good luck and see you soon

Alison

### Goals

What will you learn in this course:

• What is a limit

• Indeterminate limits

• Infinitesimal limits - principal part and order

• Infinite limits

• Continuity of a limit and lateral limits

• Examples to understand all these concepts

### Prerequisites

What are the prerequisites for this course?

• Interest to learn basic mathematics
• A paper and pen to try all the examples and exercises
• Basic and intermediate mathematics learners
• University students
• GCSE students
• People interested in learning maths

## Curriculum

Check out the detailed breakdown of what’s inside the course

Introduction
1 Lectures
• Introduction 01:27 01:27
Content of this course
1 Lectures
What is a limit
2 Lectures
Indeterminate limits
1 Lectures
Infinitesimal limits
3 Lectures
Infinite limits
2 Lectures
Continuity of limits
2 Lectures

## Instructor Details

Alison C

Hi!

My name is Alison

I'm an analytical person with a science background, that has a passion for complex problem solving. I have a PhD in Science and I currently work as a Software Developer.

I'm here to teach you Maths, Chemistry, Physics and Programming.

I present my courses in a clear, logical and structured way. For every topic, I also include an example or exercise to make sure that it is clear and easy to understand.

Please send me your feedback and let me know if you have any comments, questions or suggestions. I may be able to prepare a course that interests you.

I hope you enjoy my courses, find them easy and learn a lot with me

All the best and see you soon

Alison

## Course Certificate

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