let-u-n-e-1-n-2-1-1-1-find-a-equivalent-of-u-n-and-lim-n-u-n-2-study-the-convergence-of-u-n-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 32280 by abdo imad last updated on 22/Mar/18

let u_n = e^(1/(n^2 +1)) −1 1) find a equivalent of u_n and lim_(n→∞) u_n 2) study the convergence of Σu_n .

$${let}\:{u}_{{n}} =\:{e}^{\frac{\mathrm{1}}{{n}^{\mathrm{2}} \:+\mathrm{1}}} \:\:−\mathrm{1} \\ $$$$\left.\mathrm{1}\right)\:{find}\:{a}\:{equivalent}\:{of}\:{u}_{{n}} \:{and}\:{lim}_{{n}\rightarrow\infty} {u}_{{n}} \\ $$$$\left.\mathrm{2}\right)\:{study}\:{the}\:{convergence}\:{of}\:\:\Sigma{u}_{{n}} \:. \\ $$

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