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let-u-n-0-1-dx-1-x-x-n-study-the-convergence-of-u-n-




Question Number 32034 by abdo imad last updated on 18/Mar/18
let u_n = ∫_0 ^1   (dx/(1+x+...+x^n ))  study the convergence of  Σ u_n   .
$${let}\:{u}_{{n}} =\:\int_{\mathrm{0}} ^{\mathrm{1}} \:\:\frac{{dx}}{\mathrm{1}+{x}+…+{x}^{{n}} }\:\:{study}\:{the}\:{convergence}\:{of} \\ $$$$\Sigma\:{u}_{{n}} \:\:. \\ $$

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