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Order of Smallness
If:
$$f(x)=O((x-a)^n)$$
as:
$$x\to a$$
then there exists a constant $$M>0$$ such that:
$$|f(x)|\leq M|x-a|^n$$
near $$a$$.
Usage
- Used to compare the rate at which functions approach zero.
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Order of Smallness
If:
$$f(x)=O((x-a)^n)$$
as:
$$x\to a$$
then there exists a constant $$M>0$$ such that:
$$|f(x)|\leq M|x-a|^n$$
near $$a$$.
Usage
- Used to compare the rate at which functions approach zero.
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