Limit Under a Continuous Function
If:
$$\lim_{x\to a}g(x)=L$$
and $$f$$ is continuous at $$l$$, then:
$$\lim_{x\to a}f(g(x))=f(L)$$
Usage
- Used to evaluate composite-function limits through direct substitution.
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CAT Formulas
Limits
Limit Under a Continuous Function
Limit Under a Continuous Function
If:
$$\lim_{x\to a}g(x)=L$$
and $$f$$ is continuous at $$l$$, then:
$$\lim_{x\to a}f(g(x))=f(L)$$
Usage
- Used to evaluate composite-function limits through direct substitution.
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