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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
Posted in Zeta function
Tagged 1/12, Divergent, natural numbers, negative, sum, value, Zeta
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