Is (1/♾️)+(1/♾️), Indeterminate?

Sort:
The_Mathemagician1

Maybe.

For (1/♾️)+(1/♾️)

Will equal,

(1*1+1*♾️+♾️ 1)/(♾️)

Which is (♾️/♾️). 

Which is indeed indeterminate.

The_Mathemagician1

While (0/1)+(0/1) is not intermediate. 

 

Jomsup

Due to: lim x→infinity [ 1/x ] = 0

So lim x→infinity [ 1/x + 1/x ] = lim x→infinity [ 1/x ] + lim x→infinity [ 1/x ] = 0+0 = 0

That mean: 1/infinity + 1/infinity = 0

Is not intermediate.

The_Mathemagician1

Nope Sir,

1/infinity is positive 

-1/infinity is negative

0 is both.

Can you disprove that 1/infinity is positive?

KadeWyatt
Wait (1/infinity) + (1/infinity) does not equal 0 think about it.. 1/infinity would just be 0.0005♾ because 1/ by a half (which infinity is an even number so it’s basically 1/2 but on a much bigger scale.) Sooooooooooo, (1/infinity = 0.0005♾) + (1/infinity = 0.0005♾) = 1.000000♾ or just 1♾.
MxC2031

1/infinity = 0, so it is 0 + 0 which is 0 right lol

MxC2031
The_Mathemagician1 wrote:

Nope Sir,

1/infinity is positive 

-1/infinity is negative

0 is both.

Can you disprove that 1/infinity is positive?

UGH after my ge9metry lesson I had a few years back I’ve hated the word prove and explain

The_Mathemagician1
MxC2031 wrote:

1/infinity = 0, so it is 0 + 0 which is 0 right lol

Nope,

(1/infinity)^-1 equals infinity/1 And not (-1/infinity)

While (0^-1) equals 1/0 both which is  + and - infinity. 

(1/infinity)^-1 will prove that 1/infinity is not 0, other than as limit, and is unique from -infinity^-1, and 0.

Jomsup
The_Mathemagician1 wrote:

Maybe.

For (1/♾️)+(1/♾️)

Will equal,

(1*1+1*♾️+♾️ 1)/(♾️)

Which is (♾️/♾️). 

Which is indeed indeterminate.

Infinity is actually not a real number but it’s just a symbol showing that sequence is convergence to infinity. Your viewed it as the sum of two fraction and proof like this. It mean that you multiplied by infinity both the numerator and the denominator. Therefore an error occurred.

The_Mathemagician1
JomsupVora2020 wrote:
The_Mathemagician1 wrote:

Maybe.

For (1/♾️)+(1/♾️)

Will equal,

(1*1+1*♾️+♾️ 1)/(♾️)

Which is (♾️/♾️). 

Which is indeed indeterminate.

Infinity is actually not a real number but it’s just a symbol showing that sequence is convergence to infinity. Your viewed it as the sum of two fraction and proof like this. It mean that you multiplied by infinity both the numerator and the denominator. Therefore an error occurred.

No Sir, no error with the arithmetic occurred.

And if infinity is not negative or positive and  not a number whatsoever.

Then 1/"infinity" would equal just an unchanged 1.

 

Jomsup
lolmastrr102 wrote:
Wait (1/infinity) + (1/infinity) does not equal 0 think about it.. 1/infinity would just be 0.0005♾ because 1/ by a half (which infinity is an even number so it’s basically 1/2 but on a much bigger scale.) Sooooooooooo, (1/infinity = 0.0005♾) + (1/infinity = 0.0005♾) = 1.000000♾ or just 1♾.

Wait. If 1/infinity = 0.000...005 × infinity

So 1/infinity + 1/infinity = (0.000...005 + 0.000...005) × infinity = 0.000...01 × infinity [Unclear, can not be concluded]

However, value of 0.000...005 × infinity is interminate. So I still don't understand why you said that 1/infinity is equal to 0.000...005 × infinity

I think 1/infinity = 0.000...005 (not 0.000...005 × infinity)

Jomsup

1/infinity + 1/infinity = (1+1)/infinity = 2/infinity ?

Jomsup

I think Infinity is definitely positive. but not a real number.

The_Mathemagician1
JomsupVora2020 wrote:

I think Infinity is definitely positive. but not a real number.

I agree, Sir.

Jomsup
The_Mathemagician1 wrote:

Maybe.

For (1/♾️)+(1/♾️)

Will equal,

(1*1+1*♾️+♾️ 1)/(♾️)

Which is (♾️/♾️). 

Which is indeed indeterminate.

your prove?

1/infinity + 1/infinity

= (1×infinity / infinity×infinity) + (infinity×1 / infinity×infinity)

= ((1×infinity)+(infinity×1)) /infinity²

= infinity / infinity

Because of if you use the algebraic identity: a/b+c/d = ad/bd + bc/bd = (ad+bc) / bd That means you multiply by infinity both numerator and denominator.

The_Mathemagician1

It does prove that the sum, (1/♾️)+(1/♾️) can only be derived by dividing infinity into infinity.

Jomsup
The_Mathemagician1 wrote:

It does prove that the sum, (1/♾️)+(1/♾️) can only be derived by dividing infinity into infinity.

Looks like that's what caused an error like 2/3 = 2×infinity / 3×infinity = infinity/infinity

in the same way as 1/infinity = 1×infinity / infinity×infinity

Jomsup

Compare it to a method which uses only the distribution property.

1/infinity + 1/infinity = (1+1)/infinity = 2/infinity