let-w-n-H-n-2-n-with-H-n-k-1-n-1-k-study-the-convergence-of-n-1-w-n-x-n-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 33848 by prof Abdo imad last updated on 26/Apr/18

let w_n = (H_n ^2 /n) with H_n =Σ_(k=1) ^n (1/k) study the convergence of Σ_(n=1) ^∞ w_n x^n .

$${let}\:{w}_{{n}} =\:\frac{{H}_{{n}} ^{\mathrm{2}} }{{n}}\:\:\:{with}\:{H}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:\frac{\mathrm{1}}{{k}} \\ $$$${study}\:{the}\:{convergence}\:{of}\:\sum_{{n}=\mathrm{1}} ^{\infty} \:{w}_{{n}} {x}^{{n}} \:\:. \\ $$

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let-w-n-H-n-2-n-with-H-n-k-1-n-1-k-study-the-convergence-of-n-1-w-n-x-n-

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