Use the graph of $f\(\left\)(x\(\right\))$to estimate the value of the limit or state that it does not exist (DNE).
$\(\lim\)_{x\(\rarr\)0}f\(\left\)(x\(\right\))$

Using the graph, find the specified limit or state that the limit does not exist.

$\(\lim\)_{x\(\rightarrow\)4^{-}}f\(\left\)(x\(\right\))$, $\(\lim\)_{x\(\rightarrow\)4^{+}}f\(\left\)(x\(\right\))$, $\(\lim\)_{x\(\rightarrow\)4}f\(\left\)(x\(\right\))$

Find the specified limit or state that the limit does not exist by creating a table of values.

$f\(\left\)(x\(\right\))=\(\frac{1}{x}\)$

$\(\lim\)_{x\(\rightarrow\)1^{-}}f\(\left\)(x\(\right\))$, $\(\lim\)_{x\(\rightarrow\)1^{+}}f\(\left\)(x\(\right\))$, $\(\lim\)_{x\(\rightarrow\)1}f\(\left\)(x\(\right\))$

Use the graph of $f\(\left\)(x\(\right\))$to estimate the value of the limit or state that it does not exist (DNE).

$\(\lim\)_{x\(\rarr\)1}f\(\left\)(x\(\right\))$

Use the graph of $f\(\left\)(x\(\right\))$to estimate the value of the limit or state that it does not exist (DNE).

$\(\lim\)_{x\(\rarr\)-2}f\(\left\)(x\(\right\))$

Use the graph of $f\(\left\)(x\(\right\))$to estimate the value of the limit or state that it does not exist (DNE).

$\(\lim\)_{x\(\rarr\)0}f\(\left\)(x\(\right\))$

Use the graph of f in the figure to evaluate the function or analyze the limit. <IMAGE>

f(−1)

Use the graph of f in the figure to evaluate the function or analyze the limit. <IMAGE>

lim x→−1^− f(x)

Use the graph of f in the figure to evaluate the function or analyze the limit. <IMAGE>

lim x→−1^+ f(x)