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Refer to the graph of the function f and determine whether the statement below is true or false.

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lim𝑥→2−𝑓(𝑥)=4

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Group of answer choices





True



False

Let's examine the graph to evaluate the given statement: \(\lim_{x \to 2^-} f(x) = 4\).

- The notation \(\lim_{x \to 2^-} f(x)\) represents the left-hand limit of the function \(f(x)\) as \(x\) approaches 2 from the left.
- To determine this, we need to observe the behavior of the function \(f(x)\) as \(x\) approaches 2 from values less than 2.

From the graph:
- As \(x\) approaches 2 from the left (i.e., from values less than 2), the function appears to approach the value \(f(x) = 2\), not \(f(x) = 4\).

Thus, the statement \(\lim_{x \to 2^-} f(x) = 4\) is **false**.

Would you like more details or have any further questions?

Here are 5 related questions to deepen understanding:
1. What is the right-hand limit of \(f(x)\) as \(x \to 2^+\)?
2. How do you determine the overall limit \(\lim_{x \to 2} f(x)\)?
3. What is the value of the function \(f(x)\) at \(x = 2\)?
4. How can we interpret the open and closed circles on the graph in terms of

Refer to the graph of the function f and determine whether the statement below is true or false: lim(x→2−)f(x)=4.

Examine the graph of a function to determine the left-hand limit as x approaches 2. Learn key mathematical concepts such as limits, continuity, and how to interpret open and closed circles on a graph.

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