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Question Number 34721 by abdo mathsup 649 cc last updated on 10/May/18

let ξ(x) = Σ_(n=1) ^∞ (1/n^x ) with x>1 1)prove that (1/(x−1)) ≤ξ(x)≤ (x/(x−1)) 2) find lim_(x→1^+ ) (x−1)ξ(x) .

letξ(x)=∑n=1∞1nxwithx>1 1)provethat1x−1⩽ξ(x)⩽xx−1 2)findlimx→1+(x−1)ξ(x).

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