In a series of summation if each number is bigger than the previous one then the sequence is called as diverging series.
For example : this is a diverging serise.
But does all the diverging series sum up to ?????
For example is a diverging series does not sum up to Infinity.
Here is the proof :
Now Subtracting equtation from .
Adding equation to equation .
Subtracting equation from equation .
Thus sum of all natural numbers is
I just want to know is this proof mathematicaly correct.
Please reply and share your views.You can aslo state any of the intresting proofs or properties or anything related to maths that you find intresting below..