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Using-the-definition-show-that-U-n-k-1-n-sin-k-k-is-a-sequence-of-Cauchy-




Question Number 164477 by mathocean1 last updated on 17/Jan/22
Using the definition, show that   U_n =Σ_(k=1) ^n  ((sin(k))/(k!)) is a sequence of Cauchy.
$${Using}\:{the}\:{definition},\:{show}\:{that}\: \\ $$$${U}_{{n}} =\underset{{k}=\mathrm{1}} {\overset{{n}} {\sum}}\:\frac{{sin}\left({k}\right)}{{k}!}\:{is}\:{a}\:{sequence}\:{of}\:{Cauchy}. \\ $$

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