Question

Use the given graph to determine the limit, if it exists, will give brainliest and many points

Answer 1

Answer:

$\lim_{x \to 2^-} f(x) = 3$

$\lim_{x \to 2^+} f(x) = -1$

Step-by-step explanation:

Here we have  a piecewise function $f$ such that

$\[ f(x) = \begin{cases} 3 & \text{if x<2 } \\ 1 & \text{if x=2 } \\ -1 & \text{if x>2 } \\ \end{cases}\]$

$\lim_{x \to 2^-} f(x)$

Here the function approaches $3$ as $x \to 2^-$, thus $\lim_{x \to 2^-} f(x) = 3$

$\lim_{x \to 2^+} f(x)$

Here the function approaches $-1$ as $x \to 2^+$, thus $\lim_{x \to 2^+} f(x) = -1$

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