Evaluation of the Form $$0^0$$

Rarely Tested

Evaluation of the Form $$0^0$$

If:

$$\lim_{x\to a}f(x)=0$$

and:

$$\lim_{x\to a}g(x)=0$$

then:

$$f(x)^{g(x)}=e^{g(x)\ln f(x)}$$

Usage

- Used to transform the indeterminate form $$0^0$$.

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