Came across this and was just amazed, having studied mathematics at university it’s hard to believe that the following statement could be true

.

However, check out this “proof” to show that it is.

Lets take

.

.

.

Now, can be written as

1-2+3-4+5-6+…

+ 1-2+3-4+5-6+…

= 1-1+1-1+1-1+1-…

= .

So we can deduce that . So it follows that .

Now lets take .

It follows that .

Rearranging gives .

Giving .

Now, .

Therefore, . Right?

I found this result absolutely amazing – but this result is used in string theory and quantum mechanics!