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Anything to the power of 1 is that same something, so infinity to the power of 1 is infinity. Keep in mind that infinity is a conceptual thing, often expressed as a limit as something approaches a boundary condition of the domain of a function. Without thinking of limits, infinity squared is still infinity, so the normal rules of math would seem to not apply.
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What is e to the power infinity?
E to the power infinity, or lim en as n approaches infinity is infinity.
What is infinity to the power infinity?
Also infinity. If you are concerned about the size of sets, it is a higher-level (larger) infinity. For example, 2 to the power aleph-zero, or aleph-zero to the power aleph-zero, is equal to aleph-one.
What is 1 raised to the power of infinity?
The answer is not 1. While it may seem like 1 raised to anything equals 1 (because 1x1=1, and 1x1x1=1, ad infinitum), this is actually not the case. The answer is that 1 raised to infinity is indeterminate. When dealing with infinity, you are talking about a non-finite number, so that essentially throws all rules about algebra out the window.
What is the result of 1 multiplied by infinity?
Infinity
What is e to the power imaginary infinity?
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