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Shareandtell · 61-69, M
Oh, btw, 1 isnt even, so you mean 2 to infinity I suppose...
EDIT Sorry, that sounded rude... It was not supposed to. Actually, the sum of all the even numbers from 2 to infinity is twice the sum of all numbers from 1 to infinity so = -1/6
Here's a link to the proof... https://goo.gl/DcnoXv there are lots on YouTube, but this is the best I've found.
EDIT Sorry, that sounded rude... It was not supposed to. Actually, the sum of all the even numbers from 2 to infinity is twice the sum of all numbers from 1 to infinity so = -1/6
Here's a link to the proof... https://goo.gl/DcnoXv there are lots on YouTube, but this is the best I've found.
CopperCicada · M
They are the same infinity.
In the first case you can make a 1 to 1 map to the cardinal numbers. In the second case you can do the same by mapping 2*n to the cardinal numbers (1, 2, 3...)
If the second case was the rational numbers or all real numbers then you couldn't map them to the cardinal numbers and that one would be a larger infinity...
In the first case you can make a 1 to 1 map to the cardinal numbers. In the second case you can do the same by mapping 2*n to the cardinal numbers (1, 2, 3...)
If the second case was the rational numbers or all real numbers then you couldn't map them to the cardinal numbers and that one would be a larger infinity...
FeliciaG · F
Infinity is divisible into lesser infinites. Picture it as a pie chart of ever expanding size.
No posts at all this year on [i][b]this very[/b][/i] site!
You can't deprive us from your writings, friend. 🙂
You can't deprive us from your writings, friend. 🙂
Shareandtell · 61-69, M
If you add all the numbers from one to infinity you get minus 1 over 12 (-1/12)
honest.
honest.
SweetMae · 70-79, F
You think too much about numbers.