Estimating Two-Sided Limits Numerically

Take the function $f(x)=e^x$ and solve for the following values to find $\lim\limits_{x\to3}{f(x)}$. $$\\\begin{array}{|c|c|c|} \hline 2&2.9&2.99&2.999&\rightarrow3\\ \hline &&&&\rightarrow?\\ \hline \end{array} \\\begin{array}{|c|c|c|} \hline 3\leftarrow&3.001&3.01&3.1&4\\ \hline ?\leftarrow&&&&\\ \hline \end{array}$$