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Use the graph to find the indicated limits.Step 1 of 3 :  Find limx→2−f(x)lim𝑥→2−⁡𝑓(𝑥).

Question

Use the graph to find the indicated limits.

Step 1 of 3: Find ( \lim_{x \to 2^{-}} f(x) \lim_{x \to 2^{-}} f(x) .

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Solution

1. Break Down the Problem

To find the limit limx2f(x)\lim_{x \to 2^-} f(x), we need to analyze the behavior of the function f(x)f(x) as xx approaches 2 from the left side (values less than 2).

2. Relevant Concepts

The limit from the left, limxcf(x)\lim_{x \to c^-} f(x), signifies the value that f(x)f(x) approaches as xx gets closer to cc from smaller values.

3. Analysis and Detail

  • Review the graph of f(x)f(x).
  • Identify the value of f(x)f(x) at points just less than x=2x = 2.
  • Observe the trend of the function as xx approaches 2 from the left.

4. Verify and Summarize

Verify the value obtained from examining the graph to ensure it accurately represents the limit as xx approaches 2 from the left.

Final Answer

The result for limx2f(x)\lim_{x \to 2^-} f(x) is the value approached by f(x)f(x) as xx nears 2 from values less than 2, based on the graph. (Please refer to the specific graph values to conclude.)

This problem has been solved

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