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let-give-the-sequence-u-n-u-0-1-and-u-1-1-and-u-n-2-2u-n-1-u-n-find-the-radius-of-convegence-for-this-serie-




Question Number 31973 by abdo imad last updated on 17/Mar/18
let give the sequence (u_n )  / u_0 =1 and u_1 =−1 and  u_(n+2) = 2u_(n+1 ) −u_n    .find the radius of convegence for  this serie.
$${let}\:{give}\:{the}\:{sequence}\:\left({u}_{{n}} \right)\:\:/\:{u}_{\mathrm{0}} =\mathrm{1}\:{and}\:{u}_{\mathrm{1}} =−\mathrm{1}\:{and} \\ $$$${u}_{{n}+\mathrm{2}} =\:\mathrm{2}{u}_{{n}+\mathrm{1}\:} −{u}_{{n}} \:\:\:.{find}\:{the}\:{radius}\:{of}\:{convegence}\:{for} \\ $$$${this}\:{serie}. \\ $$

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