justify: lim_(x→+∞) Σ_(k≥1) (((k−1)! sin(x−(π/2)k))/x^k )=(π/2)


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Question Number 98286 by M±th+et+s last updated on 12/Jun/20

$j u s t i f y :$ $\underset{x \to + \infty}{l i m} \sum_{k ⩾ 1} \frac{(k - 1)! s i n (x - \frac{π}{2} k)}{x^{k}} = \frac{π}{2}$
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