Find $\lim_{x \to 2^{-}} f(x)$, $\lim_{x \to 2^{+}} f(x)$ and $\lim_{x \to 2} f(x)$ numerically if they exist.
Round each answer to the fourth decimal place.
Enter INF for positive infinity and -INF for negative infinity.
If a limit does not exist, enter DNE.
(a) $f(1.9) =$
(b) $f(1.99) =$
(c) $f(1.999) =$
(d) $f(1.9999) =$
(e) $f(2.1) =$
(f) $f(2.01) =$
(g) $f(2.001) =$
(h) $f(2.0001) =$
(i) $\lim_{x \to 2^{-}} f(x) =$
(j) $\lim_{x \to 2^{+}} f(x) =$
(k) $\lim_{x \to 2} f(x) =$
f(x) = 5x^2 + 2
\begin{array}{|c|c|c|c|c|c|c|c|c|}
\hline
x & 1.9 & 1.99 & 1.999 & 1.9999 & 2 & 2.0001 & 2.001 & 2.01 & 2.1 \\
\hline
f(x) & & & & & - & & & & \\
\hline
\end{array}