Enter a letter and a number for each formula below so as to define a continuous function.

The letter refers to the list of equations and the number is the value of the function \(f\) at 1.
Letter, Number
\( \displaystyle \frac{ \sin(2x-2 ) }{ x-1} + 1 \) when \( x< 1 \)
\(\displaystyle \frac{ x^{2}-6x+5 }{ |x-1| } \) when \( x< 1 \)
\(\displaystyle (x-1)\sin\left( \frac{1}{x} \right) \) when \( x < 1 \)
\( x^{3}-2x^{2}-1 \) when \( x < 1 \)

A. \(\displaystyle \frac{ x^{2} - 4x+3 }{ x-1 } \) when \( x > 1 \)
B. \( \displaystyle \frac{1- \cos(4\pi x) }{ 2\pi^2 (x-1)^2} \) when \( x > 1 \)
C. \( -x^{2}+4 \) when \( x > 1 \)
D. \(\displaystyle \frac{ \cos(x-1) -1 }{ x^{2} } \) when \( x > 1 \)