Question

Math

Posted 5 months ago

```
The function $g$ is defined for all real numbers.
What is a reasonable estimate for $\lim _{x \rightarrow 2} g(x)$ ?
Choose 1 answer:
(A) -2.4
(B) -2
(C) 1.5
(D) 2
(E) The limit doesn't exist.
```

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Answer from Sia

Posted 5 months ago

Solution by Steps

step 2

From the graph, we see that as $x$ approaches 2 from both the left and the right, the function $g(x)$ approaches the value at the open circle, which is $1.5$

step 3

Therefore, the limit of $g(x)$ as $x$ approaches 2 is $1.5$

C

Key Concept

Limit of a function

Explanation

The limit of a function as $x$ approaches a certain value is the value that the function approaches as $x$ gets closer to that value. In this case, the graph shows that $g(x)$ approaches $1.5$ as $x$ approaches 2.

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