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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 2 power to infinity?
The expression 2 raised to the power of infinity is undefined in standard mathematics. As the exponent approaches infinity, the value of 2^infinity grows infinitely large. However, infinity is not a specific number but rather a concept representing unboundedness, so the result cannot be determined. In some contexts, it may be interpreted as approaching infinity, but it is not a valid mathematical operation.
What is the result of 1 multiplied by infinity?
Infinity
Why don't negative numbers have logarithms?
10 (or e) to the power of x range from zero to infinity. Lets try the extreme cases: 10^infinity = infinity 10^0 = 1 10^-infinity = 1/infinity = 0
What is e to the power infinity?
E to the power infinity, or lim en as n approaches infinity is infinity.
What is infinity raised to the power infinity?
Infinity.
What is 1 raise to power infinity?
11=11=!1=11...=1
What is pi to the power of infinity?
Infinity.
What is the limit as x approaches infinity of x plus x to the 3rd power plus x to the 5th power all divided by 1 - x to the 2nd power plus x to the 4th power?
Infinity.
Can you use L'hopital's rule for functions?
Yes. The rule is used to find the limit of functions which are an indeterminate form; that is, the limit would involve either 0/0, infinity/infinity, 0 x infinity, 1 to the power of infinity, zero or infinity to the power of zero, or infinity minus infinity. So while it is not used on all functions, it is used for many.
What is e raise power to infinity?
Infinity
What is the limit of 2 to the power of infinity?
Infinity.
What is e to the power plus infinity?
infinity
What is the power sign for infinity?
The infinity symbol is ∞, if this is what you are asking.
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.
