Solving Limits (Rationalization)
Watch this video on finding limits algebraically. Be warned that removing from the numerator and denominator in Step 4 of this video is only legal inside this limit. The function is not defined at ; however, when is not 4, it simplifies to 1. Because the limit as approaches 4 depends only on values of different from 4, inside that limit and 1 are interchangeable. Outside that limit, they are not! However, this kind of cancellation is a key technique for finding limits of algebraically complicated functions.
Source: RootMath, https://youtu.be/ldTSUyQJ6eM
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Last modified: Monday, October 11, 2021, 3:37 AM