Respostas

  • Usuário do Brainly
2013-06-19T17:42:58-03:00

a) Observe que, \text{n}!=\text{n}\cdot(\text{n}-1)!.

 

Desta maneira, \dfrac{\text{n}!}{(\text{n}-1)!}=\dfrac{\text{n}\cdot(\text{n}-1)!}{(\text{n}-1)!}=\text{n}

 

 

b) Analogamente, (2\text{n}+2)!=(2\text{n}+2)\cdot(2\text{n}+1)!.

 

Logo, \dfrac{(2\text{n}+2)!}{(2\text{n}+1)!}=\dfrac{(2\text{n}+2)\cdot(2\text{n}+1)!}{(2\text{n}+1)!}=2\text{n}+2

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