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### Exercise 44: Analyzing Limits from the Graph of \( y = f(x) \)
In this exercise, we are asked to estimate or determine the value of various limits based on the graph provided (Figure 1.18).

#### Limits:
- \( \lim_{x \to 0^-} f(x) \) (a): This is the left-hand limit as \(x \) approaches 0. From the graph, the function appears to approach a vertical asymptote, and the value of \( f(x) \) tends to \( -\infty \).
  
- \( \lim_{x \to 0^+} f(x) \) (b): This is the right-hand limit as \(x \to 0 \). The graph shows that as \(x\) approaches 0 from the right, \( f(x) \) tends to \( +\infty \).

- \( \lim_{x \to 0} f(x) \) (c): Since the left-hand limit tends to \( -\infty \) and the right-hand limit tends to \( +\in

Use the graph of f(x) in Figure 1.18 to determine/estimate values for the given quantities, including possibly +∞ or -∞, or to determine that the quantity does not exist (DNE).

Explore how to analyze limits from the graph of f(x) in Figure 1.18. This problem covers key concepts in calculus such as limits from the left, right, and infinity. Suitable for students in Grades 11-12 or early college-level calculus.

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