turkey-yks 2011 Q41

turkey-yks · Other · lys1-math Small angle approximation
$$\begin{aligned} & f ( x ) = 2 x - 1 \\ & g ( x ) = \frac { x } { 2 } - \frac { 1 } { x } \end{aligned}$$
Given this, what is the value of $\lim _ { x \rightarrow 2 } \frac { f ( g ( x ) ) } { x - 2 }$?
A) 0
B) 1
C) 3
D) $\frac { 1 } { 2 }$
E) $\frac { 3 } { 2 }$
$$\begin{aligned}
& f ( x ) = 2 x - 1 \\
& g ( x ) = \frac { x } { 2 } - \frac { 1 } { x }
\end{aligned}$$

Given this, what is the value of $\lim _ { x \rightarrow 2 } \frac { f ( g ( x ) ) } { x - 2 }$?\\
A) 0\\
B) 1\\
C) 3\\
D) $\frac { 1 } { 2 }$\\
E) $\frac { 3 } { 2 }$