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czechsalmon
Dec 21, 2022
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#61
We know a llama36 when we see one no matter how many accounts she had she still is more responsible older and been on chess com longer
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#63
czechsalmon wrote:
We know a llama36 when we see one no matter how many accounts she had she still is more responsible older and been on chess com longer
I'm a guy. This is a picture of me. See? Very masculine.
(I'm the one on the right)
I'm the one on the left, about 40 years ago.
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#65
(1/infinity)^-1=infinity/1
While (-1/infinity)^-1=
-infinity
But 0^-1=1/0, which is equivalent to both.
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#66
Mathemagician_2 wrote:
(1/infinity)^-1=infinity/1
While (-1/infinity)^-1=
-infinity
But 0^-1=1/0, which is equivalent to both.
It's the same trick where you can show 1 = 2... you make use of the fact that dividing by zero isn't defined.
You say 0^-1 is 1, but it's also 2, 3, 4... it's any number.
This is because 0 / 1 = 0 but also
0 / 2 = 0
0 / 3 = 0
etc.
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#67
(1/0) can be classified as "Absolute Infinity" as it is equivalent to infinity,
-infinity, infinity i, and -infinity i.
As any of those times 0 will equal 1, Technically...or any other real or imaginary quantity, for that matter.
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#68
1/0 can be shown to be "Absolute Infinity." Because [1]/[0] remains 1/0 which is still -infinity !
It is true that 1 = 0.999... and there is a simple algebraic proof
Festerthetester wrote:
1 + .999 does not and never will = 2.
(1) x = 0.99999999etc
(2) multiply by 10 : 10x = 9.99999999etc
(3) subtract line (1) from line (2) : 9x = 9
(4) divide by 9 : x = 1
Let x = 0.999... then 10x = 9.999... now subtract the two equations 10x = 9.999... -( 1x = 0.999...) gives 9x = 9.000 then solve for x thus x = 1 therefore 1 = 0.999... since x = x
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#72
Mathemagician_2 wrote:
(1/0) can be classified as "Absolute Infinity"
1/0 is undefined. Sometimes it's infinity, sometimes it's 0, sometimes it's a number.
For example.
0 / 1 = 0
Take the reciprocal of both sides
1 / 0 = 0
-----
And now I'll make it equal a number.
0 / 1 = 0 and take reciprocal of both sides
1 / 0 = 0 Take reciprocal of both sides again, noting that 0^-1 = 1 because 0 / 1 = 0
0 / 1 = 1 and reciprocal one last time
1 / 0 = 1
----
And so I've shown how 1 / 0 = 0 or any number (in this case 1)
And yes, 1 / 0 can be infinity too.
Since it can be 0, or any number, or infinity, it's called undefined.
1/0 is undefined. However when we are dealing with limits it is considered infinity
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#74
ActivatePlan357 wrote:
1/0 is undefined. However when we are dealing with limits it is considered infinity
Only when approaching from the right. If approaching from negative numbers then the limit is negative infinity 
Someone knows their calculus...it's been decades since I did my calc series but if I remember correctly whether it's infinity or negative infinity has to do with a direction to indicate if it's small or large. Think in terms of a number line
The important thing to know is that infinity is not an actual number. It's to be considered as a measurement
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#77
"1/0 is undefined. Sometimes it's infinity, sometimes it's 0,"
I don't know what your motivation is for posting that (1/0)=0/1, but it does not.
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#78
llama36 wrote:
Knight_king1014 wrote:
llama36 wrote:
Knight_king1014 wrote:
And 1 - 0.99999999999 is not equal to zero. It's an infinitely small number
Nope, it's zero.
Name the infinitesimally different number that's in between them... you can't.
0.(0)1
As you are not a kid (at least you say you aren't) you should know what this means.
And if written as a fraction, what's the denominator for that 1?
(remember there are infinite fractions already, 9/10, 9/100, 9/1000, etc all the way to 9/inf)
Excellent point.
And as I've demonstrated this thread, 1[or 9]/infinity is NOT 0.
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#79
(1/infinity)^-1=infinity/1
While (-1/infinity)^-1=
-infinity
But 0^-1=1/0, which is equivalent to both.
https://www.chess.com/forum/view/off-topic/1-infinity-does-not-equal-0-part-2
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