vault backup: 2025-01-21 12:04:38
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@ -17,6 +17,14 @@ The standard notation for a limit is:
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$$ \lim_{x \to a} f(x) = L $$
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$$ \lim_{x \to a} f(x) = L $$
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- As $x$ approaches $a$, the output of $f(x)$ draws closer to $L$. In the above notation, $x$ and $a$ are not necessarily equal.
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- As $x$ approaches $a$, the output of $f(x)$ draws closer to $L$. In the above notation, $x$ and $a$ are not necessarily equal.
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- When plotted, the hole is located at $(a, L)$.
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- When plotted, the hole is located at $(a, L)$.
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# Continuity
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A function is continuous if their graph can be traced with a pencil without lifting the pencil from the page.
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Formally, a function $f$ is continuous at a point $a$ if:
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- $f(a)$ is defined
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- $\lim{x\rarrow}$
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# Definitions
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# Definitions
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| Term | Definition |
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| Term | Definition |
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