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let-u-n-1-n-k-0-n-k-find-lim-n-u-n-




Question Number 30192 by abdo imad last updated on 17/Feb/18
let  u_n = (1/(n!)) Σ_(k=0) ^n  k!    find lim_(n→∞)  u_n  .
$${let}\:\:{u}_{{n}} =\:\frac{\mathrm{1}}{{n}!}\:\sum_{{k}=\mathrm{0}} ^{{n}} \:{k}!\:\:\:\:{find}\:{lim}_{{n}\rightarrow\infty} \:{u}_{{n}} \:. \\ $$

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