Simplifique as expressões:
1. N!/(n-1)!
2. (N+2)!/(n+3)!
3. (N+4)!/(n+2)!(n+3)
4. (N-1)!+n!/(n+1)!
Soluções para a tarefa
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1) n! / (n-1 )! = n ( n-1 )! / (n-1)! = n
2) (n+2)! / ( n+3)! = (n+2)! / ( n+3 ) (n+2)! = 1 / n+3
3) (n+4)! / (n+2)! (n+3)! = (n+4) (n+3)! / (n+2) ( n+3)! = (n+4)/(n+2)
4) (n-1)! + n! / ( n+1 )! = (n-1)! + n ( n-1)! / (n+1) ( n ) ( n-1)!
= (n-1)! (1 + 1)/ ((n+1) (n) (n-1)! = 2 / ( n+1 ) n
2) (n+2)! / ( n+3)! = (n+2)! / ( n+3 ) (n+2)! = 1 / n+3
3) (n+4)! / (n+2)! (n+3)! = (n+4) (n+3)! / (n+2) ( n+3)! = (n+4)/(n+2)
4) (n-1)! + n! / ( n+1 )! = (n-1)! + n ( n-1)! / (n+1) ( n ) ( n-1)!
= (n-1)! (1 + 1)/ ((n+1) (n) (n-1)! = 2 / ( n+1 ) n
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