# Precise Definition of a Limit - Example 1

in MES Science2 months ago (edited)

In this video I go over a very useful example to illustrate the precise definition of a limit which I went over in my last video. This is a tricky subject to understand but it is very important to understand fully so make sure to watch this video!

Watch video on:

# View Video Notes Below!

View these notes as an article: https://peakd.com/@mes
Subscribe via email: http://mes.fm/subscribe
Donate! :) https://mes.fm/donate

Reuse of my videos:

• Feel free to make use of / re-upload / monetize my videos as long as you provide a link to the original video.

Fight back against censorship:

• Bookmark sites/channels/accounts and check periodically
• Remember to always archive website pages in case they get deleted/changed.

Buy "Where Did The Towers Go?" by Dr. Judy Wood: https://mes.fm/judywoodbook
Subscribe to MES Truth: https://mes.fm/truth

Join my forums!

Follow along my epic video series:

NOTE #1: If you don't have time to watch this whole video:

Browser extension recommendations:

# Precise Definition of a Limit – Example 1

## Precise Definition

Let f be a function defined on some open interval that contains the number ‘a’, except possibly at ‘a’ itself.

Then we can say that the limit of f(x) as x approaches ‘a’ is ‘L’, and we write:

If for every number ε > 0 there is a number δ > 0 such that:

## Example

### NOTE

The graphical procedure given above gives an illustration of the definition for ε = 0.2 but it does NOT prove that the limit is 2.

A proof has to provide a δ for every ε.

Sort: