Кто дружит с факториалами? Даю 30 баллов

Упростить:

1) [tex]\frac{(n+1)!}{(n-2)!}[/tex]

2) ([tex]\frac{1}{n!}[/tex] - [tex]\frac{1}{(n+1)!}[/tex] × n!

3) ([tex]\frac{1}{n!}[/tex] + [tex]\frac{1}{(n+2)!}[/tex]) × (n + 1)!
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