# Tag Archives: Divergent

## Sum of natural numbers equal -1/12 ?

$$\tag{1}1+2+3+4+\cdots =^?-\frac{1}{12}$$ There are many problems with that equality. Can a summation of positive integers lead to a negative quantity ? The equality implies that $$\sum_{k=1}^\infty k = -\frac{1}{12}$$ But we already know that S_N = \sum_{k=1}^Nk = \frac{N(N+1)}{2} \to … Continue reading