Infinite indetermination

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Since $1^\infty$ results in indetermination ,does $2^\infty$ result in the same?

(I think I'm basically asking if $b^\infty$, with $b \in \mathbb{R} $, results in indetermination)

And why is the result of a limit in the form $1^\infty$ an indetermination?

Thank you!

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$$2^{+\infty}=e^{+\infty\ln (2)}=$$ $$=e^{+\infty}=+\infty $$

It is not indeterminate.

It is $+\infty $ because $\ln (2)>0$.