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Evaluation of the Form $$\infty^0$$
If:
$$\lim_{x\to a}f(x)=\infty$$
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 $$\infty^0$$.
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Evaluation of the Form $$\infty^0$$
If:
$$\lim_{x\to a}f(x)=\infty$$
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 $$\infty^0$$.
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