Limit Under a Continuous Function

Rarely Tested

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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