Evaluation of the Form $$1^\infty$$
If:
$$\lim_{x\to a}f(x)=1$$
and:
$$\lim_{x\to a}g(x)=\infty$$
then:
$$\lim_{x\to a}f(x)^{g(x)}=\lim_{x\to a}e^{g(x)\ln f(x)}$$
Usage
- Used to transform the indeterminate form $$1^\infty$$ into an exponential limit.