turkey-yks 2014 Q37

turkey-yks · Other · lys1-math Differentiation from First Principles
$$\lim _ { x \rightarrow 1 } \frac { f ( x + 1 ) - 3 } { x - 1 } = 2$$
Given that, what is the value of the limit $\lim _ { x \rightarrow 2 } \frac { x \cdot f ( x ) - 6 } { x - 2 }$?
A) 5
B) 6
C) 7
D) 8
E) 9
$$\lim _ { x \rightarrow 1 } \frac { f ( x + 1 ) - 3 } { x - 1 } = 2$$

Given that, what is the value of the limit $\lim _ { x \rightarrow 2 } \frac { x \cdot f ( x ) - 6 } { x - 2 }$?\\
A) 5\\
B) 6\\
C) 7\\
D) 8\\
E) 9