Limit of zero to the zero

. The answer is 1, but how do I show this?

My textbook says for this scenario take , take , find the limit of that, and then the limit of . I'm not sure how to do this one either:

EDIT: OK solved.

which is solved with l'hopital's rule, comes to zero, and the total limit comes to one. thanks!

Re: Limit of zero to the zero

Quote:

Originally Posted by

**VinceW** . The answer is 1, but how do I show this?

My textbook says for this scenario take

, take

, find the limit of that, and then the limit of

. I'm not sure how to do this one either:

EDIT: OK solved.

which is solved with l'hopital's rule, comes to zero, and the total limit comes to one. thanks!

There is as much material to suggest that . You have done the limit correctly (as far as I can see) but the problem has been labelled as undefined.

-Dan

Re: Limit of zero to the zero

Hi VinceW !

Just have a look at this paper and you will see several commented examples of 0^0 :

"Zéro puissance zéro - Zero to the zero power"

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