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The problem asks to determine the value of the limit \( \lim_{x \to 0^-} f(x) \) based on the graph provided. Let's analyze the graph step by step:

1. The function \( f(x) \) is displayed on the Cartesian plane with various features around the point \( x = 0 \).
2. We are interested in the left-hand limit as \( x \to 0^- \), which means approaching \( x = 0 \) from values smaller than zero.

### Observing the graph:
- As \( x \) approaches 0 from the left (i.e., \( x \to 0^- \)), the function seems to head towards \( +\infty \), as it rapidly increases in value.
  
Thus, the left-hand limit \( \lim_{x \to 0^-} f(x) \) is \( +\infty \).

### Answer:
The limit does not settle at a finite value, but instead tends to infinity:
\[
\boxed{\infty}
\]

Would you like more details or clarification on this result?

Here are five related questions to deepen your understanding:
1. How would the limit change if we considered \( \lim_{x \to 0^+} f(x) \)?
2. What is the behavior of the function as \( x \to -\infty \)?
3. How do limits differ from continuity at a given point?
4. What is the significance of vertical asymptotes in determining limits?
5. How can you use limits to detect the presence of a discontinuity?

**Tip:** When analyzing limits graphically, always pay close attention to how the function behaves as you approach the point of interest from both sides.

Determine the value of the limit \( \lim_{x \to 0^-} f(x) \) based on the graph of the function f(x).

This problem involves determining the left-hand limit \( \lim_{x \to 0^-} f(x) \) from a graph. It covers key concepts such as limits and vertical asymptotes, and is appropriate for students in Grades 10-12.

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