let-f-t-t-1-t-study-the-sequence-S-n-k-1-n-f-k-n-2-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 50391 by Abdo msup. last updated on 16/Dec/18

let f(t) =(t/( (√(1+t)))) study the sequence S_n =Σ_(k=1) ^n f((k/n^2 )).

$${let}\:{f}\left({t}\right)\:=\frac{{t}}{\:\sqrt{\mathrm{1}+{t}}} \\ $$$${study}\:{the}\:{sequence}\:{S}_{{n}} =\sum_{{k}=\mathrm{1}} ^{{n}} \:{f}\left(\frac{{k}}{{n}^{\mathrm{2}} }\right). \\ $$

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let-f-t-t-1-t-study-the-sequence-S-n-k-1-n-f-k-n-2-

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