IMathAS-libretexts

Use the function $\displaystyle {f{{\left({x}\right)}}}=\frac{{{x}^{{2}}-{16}}}{{{x}-{4}}}$ to fill in the table:

$\displaystyle {x}$	$\displaystyle {f{{\left({x}\right)}}}$
5
4.5
4.1
4.01

Based on ONLY the table of values above, what conclusion can be made?

$\displaystyle \lim_{{{x}\to{4}^{{-}}}}{f{{\left({x}\right)}}}={8}$ .
$\displaystyle \lim_{{{x}\to{4}^{+}}}{f{{\left({x}\right)}}}={8}$ .
$\displaystyle \lim_{{{x}\to{4}}}{f{{\left({x}\right)}}}={8}$ .
all of these
none of these