For the function f graphed below, find the following limits. If a limit goes to oo, write "inf". If a limit goes to -∞, write "-inf". 1. ·lim f(x) = [inf 2. lim f(x): x-3¹ 3. lim f(x)= x-1 = -inf =inf 4. lim f(x) = 1 x x 5. lim f(x) = -2 8118 my -10 1,0 1,0

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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how would I find the last limit function

For the function \( f \) graphed below, find the following limits. If a limit goes to \(\infty\), write "inf". If a limit goes to \(-\infty\), write "-inf".

**Graph Description:**
The graph shows the function \( f(x) \) with distinct behaviors around specific points. Near \( x = 3 \), the function has a vertical asymptote, indicating that the limit from the left approaches infinity and from the right approaches negative infinity. Around \( x = 1 \), the function also has vertical asymptotic behavior where the limit approaches infinity. As \( x \) approaches infinity, the function stabilizes around a value of 1, whereas as \( x \) approaches negative infinity, the function approaches -2.

**Limits to Find:**

1. \(\lim_{x \to 3^-} f(x) = \text{inf}\)

2. \(\lim_{x \to 3^+} f(x) = \text{-inf}\)

3. \(\lim_{x \to 1} f(x) = \text{inf}\)

4. \(\lim_{x \to \infty} f(x) = 1\)

5. \(\lim_{x \to -\infty} f(x) = -2\)
Transcribed Image Text:For the function \( f \) graphed below, find the following limits. If a limit goes to \(\infty\), write "inf". If a limit goes to \(-\infty\), write "-inf". **Graph Description:** The graph shows the function \( f(x) \) with distinct behaviors around specific points. Near \( x = 3 \), the function has a vertical asymptote, indicating that the limit from the left approaches infinity and from the right approaches negative infinity. Around \( x = 1 \), the function also has vertical asymptotic behavior where the limit approaches infinity. As \( x \) approaches infinity, the function stabilizes around a value of 1, whereas as \( x \) approaches negative infinity, the function approaches -2. **Limits to Find:** 1. \(\lim_{x \to 3^-} f(x) = \text{inf}\) 2. \(\lim_{x \to 3^+} f(x) = \text{-inf}\) 3. \(\lim_{x \to 1} f(x) = \text{inf}\) 4. \(\lim_{x \to \infty} f(x) = 1\) 5. \(\lim_{x \to -\infty} f(x) = -2\)
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