Problems Plus 2: Where is the Function Continuous?

In this video I go over determining where a function, that is given in the form of a limit as n approaches infinity, is continuous. I solve this by using the problem-solving strategy of taking cases, in this case where the absolute value of x is less than 1, equal to 1, and greater than 1. Using our limit laws, as well as our previous r^n series, I show that the function is continuous for all values of x except at +/- 1.

The timestamps of key parts of the video are listed below:

- Problem 2: Where is f continuous?: 0:00
- Case (i): |x| is less than 1: 0:32
- Case (ii): |x| = 1: 4:27
- Case (iii): |x| is greater than 1: 6:21
- Putting it all together: 8:42

This video was taken from my earlier video listed below:

- Infinite Sequences and Series: Problems Plus: https://youtu.be/zjdkQIIdTbg
- HIVE video notes: https://peakd.com/hive-128780/@mes/infinite-sequences-and-series-problems-plus
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FQ96Egr5R7fZGeDTIUKz8P

Related Videos:

Sequences and Series playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EXHAJ3vRg0T_kKEyPah1Lz .

------------------------------------------------------

SUBSCRIBE via EMAIL: https://mes.fm/subscribe

DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate

Like, Subscribe, Favorite, and Comment Below!

Follow us on:

MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes

MORE Links: https://linktr.ee/matheasy

Email me: [email protected]

Free Calculators: https://mes.fm/calculators

BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm

Free Online Tools: https://mes.fm/tools

iPhone and Android Apps: https://mes.fm/mobile-apps