let-u-n-n-1-n-n-1-with-gt-1-find-lim-n-u-n-

Tinku Tara June 4, 2023 Limits 0 Comments

Question Number 32296 by abdo imad last updated on 22/Mar/18

let u_n = (((n+1)^α −n^α )/n^(α−1) ) with α>1 find lim_(n→∞) u_n .

$${let}\:\:{u}_{{n}} =\:\frac{\left({n}+\mathrm{1}\right)^{\alpha} \:\:−{n}^{\alpha} }{{n}^{\alpha−\mathrm{1}} }\:\:{with}\:\alpha>\mathrm{1}\:\:{find}\:{lim}_{{n}\rightarrow\infty} {u}_{{n}} \:\:. \\ $$

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let-u-n-n-1-n-n-1-with-gt-1-find-lim-n-u-n-

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