Let
$$f ( x ) = e ^ { - | x | } , x \in \mathbb { R }$$
and
$$g ( \theta ) = \int _ { - 1 } ^ { 1 } f \left( \frac { x } { \theta } \right) d x , \theta \neq 0$$
Then,
$$\lim _ { \theta \rightarrow 0 } \frac { g ( \theta ) } { \theta }$$
(A) equals 0 .\\
(B) equals $+ \infty$.\\
(C) equals 2 .\\
(D) does not exist.