The Linear Approximation $L ( x )$ To $f ( x ) = \ln x$

Multiple Choice

The linear approximation $L ( x )$ to $f ( x ) = \ln x$ near $x _ { 0 } = e$ is

A) $e + \frac { 1 } { e } ( x - e )$
B) $1 + \frac { 1 } { e } ( x - e )$
C) $- 1 + \frac { 1 } { e } ( x - e )$
D) $e - \frac { 1 } { e } ( x - e )$
E) $1 - \frac { 1 } { e } ( x - e )$