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Change of Variable in Limits
If:
$$t=g(x)$$
and:
$$x\to a\Rightarrow t\to L$$
then:
$$\lim_{x\to a}f(g(x))=\lim_{t\to L}f(t)$$
Usage
- Used to transform complicated limits into standard forms.
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Change of Variable in Limits
If:
$$t=g(x)$$
and:
$$x\to a\Rightarrow t\to L$$
then:
$$\lim_{x\to a}f(g(x))=\lim_{t\to L}f(t)$$
Usage
- Used to transform complicated limits into standard forms.
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