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Precise Definition of a Limit

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First published at 04:11 UTC on February 19th, 2021.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In my earlier videos I went over limits and limit laws but through a intuitive definition that used subjective terms such as "close to a" but that is not good enough to prove conclusively some limits especially limits that don't have the direct substitution property. In this video I go over the precise definition of a limit as well as going through a simple example to better illustrate it. This concept is more abstract and complex but it is necessary to make defining the limit more concrete. This is very important to understand as it is the building block for calculus so make sure to watch this video!

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiNYkJxQAgOddjoF8hQ?e=yPOBE3

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/precise-definition-of-a-limit

Related Videos:

What are Limits? A Simple Explanation: http://youtu.be/FbV7TzlkTZk
The Limit of a Function: http://youtu.be/0RX1o7KeZ28
Limit Laws - Part 1: Brief Overview: http://youtu.be/qfk5c-43dLg
Limit Laws - Part 2 + Brief History of Newton and Limits: http://youtu.be/K5n7y2BvnOs
Limit Laws Part 2 - Examples + Intro to Direct Substitution Property: http://youtu.be/cIjWhV7YdOE
Limits - where Direct Substitution doesn't work: http://youtu.be/L9jrwf-IKeU
Absolute Values - Properties and Rules: http://youtu.be/tl9iten87MU .

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