What is 0 ^ 0
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
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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