упростите вырожение:
1) n! / (n-2)!
2) (n-1)! / (n-3)!
3) 1/n! - 1/(n+1)!
1) n! / (n-2)!
2) (n-1)! / (n-3)!
3) 1/n! - 1/(n+1)!
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Ответ:
Пошаговое объяснение:
1) n! / (n-2)! = (n-1)*(n-2)
2) (n-1)! / (n-3)! = (n-2) * (n-1)
3) (n+1)! = (n+1) * n!
1/n! - 1/(n+1)! = 1/n! - 1/((n+1) * n!)
приведем к общ знаменателю:
(n+1)/((n+1)*n!) - 1/((n+1)*n!) = n/ (n+1)*n! = n/(n+1)!