Did you know that Super Mario can save his life by understanding removable discontinuity? I know it's a silly example, ninjas, but removable discontinuities like you see in this video are crucial to understand for your next precalculus and calc exam! In some cases, the discontinuity may not be removable (eg: jump discontinuity or an asymptote), but in this video example, we'll show how and why the point discontinuity is removable for Mario to survive, and it has to do with the defined limit value at a point. Approaching the hole from the left and the right to find the limit is crucial before determining we can remove the discontinuity.
I hope you enjoy this fun example and be sure to check out my other videos and subscribe so that you can crush your AP exam like a ninja!
0:00 - Introduction
0:11 - Example Equation
0:35 - Identifying The Hole
0:53 - Domain Restriction
1:34 - Graphing The Function
2:00 - Different Discontinuities
2:55 - Removable Discontinuity
3:22 - Limit At X=1
4:00 - Removing The Discontinuity
4:16 - Final Answer
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