sum convergence of n - Wolfram|Alpha

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Input

convergence | sum_n^∞ n

Infinite sum

sum_(n=1)^∞ n diverges to ∞

Partial sum formula

sum_(n=1)^k n = 1/2 k (k + 1)

Regularized result

Dirichlet regularization

lim_(s->0)( sum_(n=1)^∞ n^(1 - s)) = -1/12

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