Complete the Table and Numerically Estimate the Limit As $x$ Approaches Infinity For

Multiple Choice

Complete the table and numerically estimate the limit as $x$ approaches infinity for $f ( x ) = x - \sqrt { x ^ { 2 } + 4 }$ .
$\begin{array}{|c|c|c|c|c|c|c|c|}\hline x & 10^{0} & 10^{1} & 10^{2} & 10^{3} & 10^{4} & 10^{5} & 10^{6} \\\hline f(x) & & & & & & & \\\hline\end{array}$

A) 0
B) 4
C) $- 4$
D) $\infty$
E) limit does not exist