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Let $f(x)=\frac{x^2-9}{x3}($a$)$ Calculate $f(x)$ for each value of $x$ in the following table. $($b$)$ Make a conjecture about the value of $\underset{x-3}{lim}\frac{x^2-9}{x3}$

$($a$)$ Calculate $f(x)$ for each value of $x$ in the following table.

$\backslash$table$[[x,-2\mathrm{.}9,-2\mathrm{.}99,-2\mathrm{.}999,-2\mathrm{.}9999],[f(x)=\frac{x^2-9}{x3},,,,],[x,-3\mathrm{.}1,-3\mathrm{.}01,-3\mathrm{.}001,-3\mathrm{.}0001],[f(x)=\frac{x^2-9}{x3},,,,]]$

$($Type integers or decimals rounded to four decimal plac$$s as needed.$)$

$($b$)$ Make a conjecture about the value of $\underset{x-3}{lim}\frac{x^2-9}{x3}.\underset{x-3}{lim}\frac{x^2-9}{x3}=($Type an integer or a decimal.$)$