What's the sum of all real numbers? Is it infinite or undefined?

Infinite

Don't think this can be written as a function without using sigma notation

>>7743141
[math]
\sum_{n=1}^{\infty} n
[/math]
Through analytic continuation, this can be determined to be -1/12

>>7743146
Bullshit

>>7743146
>>7743145
He asked for all reals.
Sigma notation assumes countability.

>>7743148
Well his fucking example was the counting numbers. Obviously the reals are uncountable infinite
>>7743141
You can probably manipulate this
>>7743146
into some sort of Taylor series, but judging by OP's lack of a grasp of math I doubt he'll know how to do that

>>7743141
0
every real positive has a negative counterpart

>>7743158

Thanks anon hadn't considered that.

>>7743158
not necessarily, you are assuming you can rearrange the numbers to sum them in pairs, thats something you cant assume if you want consistent limits,

lets sum all integers as an example

-2 -1 0 +1 +2
pair them off

0 + (1 - 1) + (2 - 2) ... = 0

But now pair them off at an offset of 1:

(0 -1) + (1 - 2) + (2 -3) ... = -1 -1 -1 ... = -infinity

>>7743141
-1/12 isnt it?

>>7743324
sorry this is for natural numbers

-infinity/12