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Category: Relation and Functions

let-x-gt-1-and-x-n-1-1-n-x-zeta-function-of-Rieman-1-calculate-lim-x-x-2-let-consider-s-x-n-2-n-n-x-n-study-the-convergence-of-s-x-and-find-a-simple-form

Question Number 32487 by abdo imad last updated on 25/Mar/18 letx>1andξ(x)=n=11nx(zetafunctionofRieman)1)calculatelimx+ξ(x)2)letconsiders(x)=n=2ξ(n)nxnstudytheconvergence$${of}\:{s}\left({x}\right)\:{and}\:{find}\:{a}\:{simple}\:{form}\:{of}\:{s}\left({x}\right). \