The Slope of the Tangent Line to the Graph of the Exponential

Multiple Choice

The slope of the tangent line to the graph of the exponential function $y = 6 ^ { x }$ at the point $( 0,1 )$ is $\lim _ { x \rightarrow 0 } \frac { 6 ^ { x } - 1 } { x }$ . Estimate the slope to three decimal places.

A) $2.197$
B) $1.946$
C) $2.303$
D) $1.792$
E) $1.609$