Question

enter each answer as a whole number (like -4, 0, or 253) or dne for undefined or does not exist.
f(3) = 2
lim_{x\to0^{-}}f(x)=
lim_{x\to2^{+}}f(x)=3
lim_{x\to9}f(x)=dne
question help: video 1 video 2 message instructor

Explanation:

Step1: Analyze $\lim_{x

ightarrow0^{-}}f(x)$
As $x$ approaches $0$ from the left - hand side, we look at the values of the function for $x < 0$. Since the function is not defined for $x < 0$, $\lim_{x
ightarrow0^{-}}f(x)=\text{DNE}$.

Step2: Analyze $\lim_{x

ightarrow2^{+}}f(x)$
As $x$ approaches $2$ from the right - hand side, we trace the graph for $x>2$. The $y$ - value that the function approaches as $x$ gets closer to $2$ from the right is $4$.

Answer:

$\lim_{x
ightarrow0^{-}}f(x)=\text{DNE}$
$\lim_{x
ightarrow2^{+}}f(x)=4$