What's the sum of all real numbers?
Is it infinite or undefined?
How do I express 1+2+3+4+5 as a function f of x where x is how many times you've done it. So f(4) is 1+2+3+4.
Is this an exponential function? I mean the rate of change is constantly increasing. But I guess since the rate of rate is only increasing by one each time it no exponential.
Sorry for English and math. I am farmer using internet to learn math.
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
>>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
