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Precise Definition of a Limit - Example 3

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First published at 03:57 UTC on February 9th, 2021.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I continue with the wonderful world of limits and go over a more difficult example using the precise definition of a limit. In this case I show how to prove the limit of x^2 as x approaches 3 is equal to 9 using a pretty clever method. For more complicated functions, using the precise definition to prove limits becomes increasingly more difficult. But luckily we can simply prove them using the limit laws which I went over in my earlier videos (see video links below). But those limit laws need to be proven and I will prove each one in my videos to come.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIiMxqJcCXle9g2lOtIQ?e=dYvf7M

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/precise-definition-of-a-limit-example-3

Related Videos:

Precise Definition of a Limit: http://youtu.be/zOWuWE4M2rkq
Precise Definition of a Limit - Example 1: http://youtu.be/p__GkKUswmY
Precise Definition of a Limit - Example 2: Proving limits exists: http://youtu.be/HC-ClOx1sFs
Precise Definition of One Sided Limits: http://youtu.be/Zarz1_ehv84
Precise Definition of One Sided Limits - Example: http://youtu.be/IECI8QpGkzY
Factoring: Difference of Squares: http://youtu.be/qFdohskRQB0
Types of Intervals - Closed vs Open Intervals: http://youtu.be/wGthQDEixcw .

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