Question

sum of all number 1+2+3+4+infity = -12 why​

Answer 1

Answer:

Let [math]S = \frac{1}{1} + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5} + \frac{1}{6}...[/math]

[math]S = \frac{1}{1} + (\frac{1}{1}-\frac{1}{2}) + \frac{1}{3} + (\frac{1}{2}-\frac{1}{4}) + \frac{1}{5} + (\frac{1}{3}-\frac{1}{6})...[/math]

[math]S = S + (\frac{1}{1} - \frac{1}{2} + \frac{1}{3} - \frac{1}{4} + \frac{1}{5} - \frac{1}{6}...[/math]

[math]S = S + ln(2)[/math]

Therefore S is infinity.

The second one is from The Simpsons btw .