What is 2^(1-infinity)??

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Avatar of One_Zeroth

It is 2/(2^infinity)

Which is 1/infinity. But is not 0.

Avatar of Hawksteinman

Infinity is not a number

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I don’t care
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42
Avatar of One_Zeroth
Hawksteinman wrote:

Infinity is not a number

It can be computed and operated with, in Mathematical equations.

Avatar of One_Zeroth
Hawksteinman wrote:

Infinity is not a number

https://en.m.wikipedia.org/wiki/Infinitesimal

1/infinity=an Infinitesimal, is.

In mathematics, an infinitesimal number is a quantity that is closer to zero than any standard real number, but that is not zero. The word infinitesimal comes from a 17th-century Modern Latin coinage infinitesimus, which originally referred to the "infinity-th" item in a sequence.

Infinitesimals (ε) and infinities (ω) on the hyperreal number line (ε = 1/ω)
Infinitesimals do not exist in the standard real number system, but they do exist in other number systems, such as the surreal number system and the hyperreal number system, which can be thought of as the real numbers augmented with both infinitesimal and infinite quantities; the augmentations are the reciprocals of one another.

Infinitesimal numbers were introduced in the development of calculus, in which the derivative was first conceived as a ratio of two infinitesimal quantities. This definition was not rigorously formalized. As calculus developed further, infinitesimals were replaced by limits, which can be calculated using the standard real numbers.

Infinitesimals regained popularity in the 20th century with Abraham Robinson's development of nonstandard analysis and the hyperreal numbers, which, after centuries of controversy, showed that a formal treatment of infinitesimal calculus was possible. Following this, mathematicians developed surreal numbers, a related formalization of infinite and infinitesimal numbers that include both hyperreal cardinal and ordinal numbers, which is the largest ordered field.

Avatar of One_Zeroth

I've theorized that numbers such as infinity+1/infinity, are infinite and infinitesimal quantity sums.

While

Infinity+(-1)^0.5 is an imaginary infinite number!

Avatar of Hawksteinman

No

Avatar of One_Zeroth

Is (1/♾️)^-1 equal to +♾️

Yes.

But it is not -infinity as well, which 1/0 is; as a limit to when 1/x tends to +/-infinity as x approaches 0 from either side.

Avatar of Hawksteinman

1/0 is not infinity, infinity is not a number. 1/0 is undefined.

Avatar of wavaxa2

So is 2^(infinity-1)=infinity/2 then?

Avatar of One_Zeroth
wavaxa2 wrote:

So is 2^(infinity-1)=infinity/2 then?

Nope. It's, (2^infinity=infinity)/2

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Hawksteinman wrote:

1/0 is not infinity, infinity is not a number. 1/0 is undefined.

1/0 is even greater than infinity itself.

For 1/1/(1/infinity) is just 1/infinity. While 1/(1/0) is 0.- Less.

Avatar of SriyoTheGreat
Hawksteinman wrote:

Infinity is not a number

gotta agree with this one, infinity manages to break many principles and can't be classified into 1 category, such as integer or natural. So it can't possibly be a number.

Avatar of One_Zeroth
SriyogeshS wrote:
Hawksteinman wrote:

Infinity is not a number

gotta agree with this one, infinity manages to break many principles and can't be classified into 1 category, such as integer or natural. So it can't possibly be a number.

Then neither is a Rational number fraction, or Irrational number, D *ofus

Avatar of One_Zeroth

Infinity+(-1)^0.5 can be defined as a number.

Avatar of PortakalszOrdek

1-inf. = İnf.. So this means 2^minus infinity.. which equals a value that approaches zero but is not 0, in practice we can take this to be 0, but when graphing we can never take it to be 0

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PortakalszOrdek wrote:

1-inf. = İnf.. So this means 2^minus infinity.. which equals a value that approaches zero but is not 0, in practice we can take this to be 0, but when graphing we can never take it to be 0

Yes, pretty true, Sir

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