0
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.
Still curious? Ask our experts.
Chat with our AI personalities
Maxine
Vivi
BlakeAdd your answer:
Earn +20 pts
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?
???
