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5. Use the graph of f(x) below to find the following: lim f(x)= x-0 y=f(x) k. Where is f(x) discontinuous? a. C. e. lim f(x): x→0 lim f(x) = x->2 g. limf(x)= lim f(x)=. i. = ∞0-----x Discontinuous at x = b. lim f(x)= x→0* d. f(0) = f. lim f(x) = x-2 h. ƒ(2) = j. lim_ƒ(x) = x-1

5. Use the graph of f(x) below to find the following: lim f(x)= x-0 y=f(x) k. Where is f(x) discontinuous? a. C. e. lim f(x): x→0 lim f(x) = x->2 g. limf(x)= lim f(x)=. i. = ∞0-----x Discontinuous at x = b. lim f(x)= x→0* d. f(0) = f. lim f(x) = x-2 h. ƒ(2) = j. lim_ƒ(x) = x-1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Do Problems f, g, h, i, j, k only please

**Graph Analysis for \( f(x) \)** Use the graph of \( f(x) \) to find the following values: 1. \(\lim_{{x \to 0^-}} f(x) = \) __________ 2. \(\lim_{{x \to 0^+}} f(x) = \) __________ 3. \(\lim_{{x \to 0}} f(x) = \) __________ 4. \(f(0) = \) __________ 5. \(\lim_{{x \to 2^-}} f(x) = \) __________ 6. \(\lim_{{x \to 2^+}} f(x) = \) __________ 7. \(\lim_{{x \to 2}} f(x) = \) __________ 8. \(f(2) = \) __________ 9. \(\lim_{{x \to \infty}} f(x) = \) __________ 10. \(\lim_{{x \to -1}} f(x) = \) __________ **Identify Discontinuities** Where is \( f(x) \) discontinuous? Discontinuous at \( x = \) __________ **Graph Explanation** The graph displays the function \( f(x) \) with defined points and open circles indicating breaks or jumps in the graph at \( x=1 \) and \( x=2 \). The graph moves along the vertical axis near \( y=3 \) and drops sharply. Notice the vertical and horizontal asymptotes and how the function behaves in these intervals. Evaluate the limits and function values using these visual references.
Transcribed Image Text:**Graph Analysis for \( f(x) \)** Use the graph of \( f(x) \) to find the following values: 1. \(\lim_{{x \to 0^-}} f(x) = \) __________ 2. \(\lim_{{x \to 0^+}} f(x) = \) __________ 3. \(\lim_{{x \to 0}} f(x) = \) __________ 4. \(f(0) = \) __________ 5. \(\lim_{{x \to 2^-}} f(x) = \) __________ 6. \(\lim_{{x \to 2^+}} f(x) = \) __________ 7. \(\lim_{{x \to 2}} f(x) = \) __________ 8. \(f(2) = \) __________ 9. \(\lim_{{x \to \infty}} f(x) = \) __________ 10. \(\lim_{{x \to -1}} f(x) = \) __________ **Identify Discontinuities** Where is \( f(x) \) discontinuous? Discontinuous at \( x = \) __________ **Graph Explanation** The graph displays the function \( f(x) \) with defined points and open circles indicating breaks or jumps in the graph at \( x=1 \) and \( x=2 \). The graph moves along the vertical axis near \( y=3 \) and drops sharply. Notice the vertical and horizontal asymptotes and how the function behaves in these intervals. Evaluate the limits and function values using these visual references.
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