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Indeterminate

If you take a sequence 1.0 0.5 0.25 0, , 0 , 0 , ... etc

You will get 0 for all values.

Now consider the sequence 0 0 0 0 1, 1.0, 0.5, 0.25, ... etc

You will get 1 for every positive base. So you think 0^0 would also be 1.

So the final result will be that you can get any value between 0 and 1. This value will not be a fix number. And something that can not express as number is said to be indeterminate.

Now look at the following expression (1/n) (x^n)

As n-> ∞, this fraction goes to 0^0, but if it is just x the whole time, the limit of the expression as it goes to 0^0 is x.

So we could make it anything in between 0 and 1. So it is indeterminate.

Indeterminate means something that has no definite value. Something that cannot be expressed as a NUMBER.

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