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πUnit 1

1 min readβ’june 11, 2020

Anusha Tekumulla

π₯**Watch: Calculus AB/BC - ****Continuity, Part II**

This topic focuses on how we can remove discontinuities from a function. If the limit of a function exists at a discontinuity in its graph, then it is possible to remove the discontinuity at that point so it equals the lim x -> a [f(x)].

We use two methods to remove discontinuities in AP Calculus: **factoring **and **rationalization**.Β

If you are able to **factor **the function, you might be able to **cancel out** the part of the function that is causing the discontinuity.Β Thus, youβll be able to find the limit without having problems with discontinuities. To understand this, letβs look at an example.Β π
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Another way to remove discontinuities is to **rationalize the fraction**. To do this we **multiply by a complex conjugate**. To understand this better, letβs look at an example.Β π§

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