22. Limits & Continuity

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\(\rarr\)0}f\(\left\)(x\(\right\))$

Find the limit by creating a table of values.

$\(\lim\)_{x\(\rarr\)2}3x^2+5x+1$

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

$\(\lim\)_{x\(\rightarrow\)0^{-}}f\(\left\)(x\(\right\))$ , $\(\lim\)_{x\(\rightarrow\)0^{+}}f\(\left\)(x\(\right\))$, $\(\lim\)_{x\(\rightarrow\)0}f\(\left\)(x\(\right\))$

Find the limit by creating a table of values.

$\(\lim\)_{x\(\rarr\)0}-4x+2$

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).

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

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

$\(\lim\)_{x\(\rarr\)-2^{-}}f\(\left\)(x\(\right\))$, $\(\lim\)_{x\(\rarr\)-2^{+}}f\(\left\)(x\(\right\))$, $\(\lim\)_{x\(\rarr\)-2^{}}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 limit by creating a table of values.

$\(\lim\)_{x\(\rarr\)1}\(\frac{x^2-4}{x-2}\)$

Find the limit using the graph of $f\(\left\)(x\(\right\))$shown.

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

Find the limit using the graph of $f\(\left\)(x\(\right\))$shown.

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

Find the limit using the graph of $f\(\left\)(x\(\right\))$shown.

$\(\lim\)_{x\(\rarr\)4}f\(\left\)(x\(\right\))$