let-u-n-n-1-n-1-n-n-find-radius-of-convergence-for-u-n-z-n-z-C-

Tinku Tara June 4, 2023 Relation and Functions 0 Comments

Question Number 31976 by abdo imad last updated on 17/Mar/18

let u_n =^(n+1) (√(n+1)) −^n (√n) find radius of convergence for Σ u_n z^n (z∈C).

$${let}\:{u}_{{n}} =^{{n}+\mathrm{1}} \sqrt{{n}+\mathrm{1}}\:−\:^{{n}} \sqrt{{n}}\:\:{find}\:{radius}\:{of}\:{convergence}\: \\ $$$${for}\:\:\Sigma\:{u}_{{n}} {z}^{{n}} \:\:\:\:\left({z}\in{C}\right). \\ $$

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