1. Limits and Continuity

Use the graph of $f\(\left\)(x\(\right\))$ to determine if the function is continuous or discontinuous at $x=c$.

$c=3$

Determine the interval(s) for which the function is continuous.

$f\left(x\right)=\frac{\sin x}{(2+\cos x)}$

Use the graph of $f\(\left\)(x\(\right\))$ to determine if the function is continuous or discontinuous at $x=c$.

$c=4$

Determine the value(s) of $x$ (if any) for which the function is discontinuous.

Use graph of $f\(\left\)(x\(\right\))$ to determine if the function is continuous or discontinuous at $x=c$

$c=0$

Determine the interval(s) for which the function is continuous.

$f(x)=x^2+4x-12$

Use the graph of $f\(\left\)(x\(\right\))$ to determine if the function is continuous or discontinuous at $x=c$.

$c=-2$

Determine the interval(s) for which the function is continuous.

Determine the value(s) of $x$ (if any) for which the function is discontinuous.

$f\(\left\)(x\(\right\))=\(\frac{x-4}{x^2-x-12}\)$