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Input:

zeta(x)


Series expansion at x=0:

-1\/2 - 1\/2 x log(2 pi) + 1\/48 x^2 (24 gamma_1 + 12 gamma^2 - pi^2 - 12 log^2(2) - 12 log^2(pi) - 24 log(2) log(pi)) + 1\/48 x^3 (24 gamma gamma_1 + 12 gamma_2 + 24 gamma_1 log(2 pi) - 8 zeta(3) + 8 gamma^3 - 4 log^3(2 pi) + 12 gamma^2 log(2 pi) - pi^2 log(2 pi)) + 1\/24 zeta^(4)(0) x^4 + 1\/120 zeta^(5)(0) x^5 + O(x^6)\n(Taylor series)


Series expansion at x=∞:

2^(-x) + 3^(-x) + 4^(-x) + 5^(-x) + 6^(-x) + 7^(-x) + 8^(-x) + 9^(-x) + 10^(-x) + 11^(-x) + 12^(-x) + 1

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