let-U-n-1-n-arcsin-1-n-1-n-1-3-study-the-convergence-of-U-n-

Tinku Tara June 3, 2023 Integration 0 Comments

Question Number 74796 by mathmax by abdo last updated on 30/Nov/19

let U_n =(−1)^n {arcsin((1/n))−(1/n)}^(1/3) study the convergence of Σ U_n

$${let}\:{U}_{{n}} =\left(−\mathrm{1}\right)^{{n}} \left\{{arcsin}\left(\frac{\mathrm{1}}{{n}}\right)−\frac{\mathrm{1}}{{n}}\right\}^{\frac{\mathrm{1}}{\mathrm{3}}} \\ $$$${study}\:{the}\:{convergence}\:{of}\:\Sigma\:{U}_{{n}} \\ $$

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