let-give-u-n-n-1-n-1-n-n-1-study-the-convergence-of-u-n-2-find-nature-of-serie-n-1-u-n-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 31523 by abdo imad last updated on 09/Mar/18

let give u_n =^(n+1) (√(n+1)) −^n (√n) 1) study the convergence of (u_n ) 2) find nature of serie Σ_(n=1) ^∞ u_n

$${let}\:{give}\:{u}_{{n}} =^{{n}+\mathrm{1}} \sqrt{{n}+\mathrm{1}}\:\:−^{{n}} \sqrt{{n}}\: \\ $$$$\left.\mathrm{1}\right)\:{study}\:{the}\:{convergence}\:{of}\:\left({u}_{{n}} \right) \\ $$$$\left.\mathrm{2}\right)\:{find}\:{nature}\:{of}\:{serie}\:\:\sum_{{n}=\mathrm{1}} ^{\infty} {u}_{{n}} \\ $$

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let-give-u-n-n-1-n-1-n-n-1-study-the-convergence-of-u-n-2-find-nature-of-serie-n-1-u-n-

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