1. Limits and Continuity

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

$\lim_{x\rightarrow0^{-}}f\left(x\right)$ , $\lim_{x\rightarrow0^{+}}f\left(x\right)$, $\lim_{x\rightarrow0}f\left(x\right)$

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

$\lim_{x\rightarrow4^{-}}f\left(x\right)$, $\lim_{x\rightarrow4^{+}}f\left(x\right)$, $\lim_{x\rightarrow4}f\left(x\right)$

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

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

$\lim_{x\rightarrow1^{-}}f\left(x\right)$, $\lim_{x\rightarrow1^{+}}f\left(x\right)$, $\lim_{x\rightarrow1}f\left(x\right)$

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

$\lim_{x\rarr1}f\left(x\right)$

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).

$\lim_{x\rarr0}f\left(x\right)$

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

$\lim_{x\rarr0}f\left(x\right)$

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)

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>

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→3^− f(x)

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

lim x→3^+ f(x)