For all values of \(x\) where \(x > 2,\) which of the following is equivalent to \(\dfrac{x!+(x-1)!}{(x+2)!}?\)

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For all values of \(x\) where \(x > 2,\) which of the following is equivalent to \(\dfrac{x!+(x-1)!}{(x+2)!}?\)

A. \(\dfrac1{x^2+2}\)
B. \(\dfrac1{x^2+2x}\)
C. \(\dfrac1{x+2}\)
D. \(\dfrac1{x^2}\)
E. \(\dfrac1{(x+1)!}\)

Answer: B

Source: Veritas Prep
Source: — Problem Solving |