Question

Simplifique: D)n!-(n-1)!/(n-1)!+(n-2)!

Answer 1

Resposta:

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

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

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

[n²-n-n+1]/[n-1+1]

[n²+1]/n = n +1/n  =n +n⁻¹