Question

Simplifique as expressões:

a) n! / (n - 1)!        

b) [n! – (n + 1)!] / n!         

c) [(n + 2)! + (n + 1)!. (n - 1)!] / (n + 1)!. (n - 1)

Answer 1

a) n! / (n - 1)!         =n(n-1)!/(n-1)!  =n

b) [n! – (n + 1)!] / n!     =[n!-(n+1)n!]/n! =1-(n+1) =-n    

 

c) [(n + 2)! + (n + 1)!. (n - 1)!] / (n + 1)!. (n - 1)

[(n + 2)(n+1)! + (n + 1)!. (n - 1)!] / (n + 1)!. (n - 1)

[(n + 2)+ (n - 1)!] / (n - 1)