The image contains a mathematical expression and questions related to limits. Here's the transcription suitable for an educational website: --- **Function Definition:** \[ f(a) = \frac{a^2 + 11a + 28}{a^3 - 6a^2 - 63a + 392} \] **Limit Problems:** a) \(\lim_{a \to 7^-} f(a)\) b) \(\lim_{a \to 7^+} f(a)\) c) \(\lim_{a \to 7} f(a)\) --- To solve these problems, one must evaluate the behavior of the function \( f(a) \) as \( a \) approaches 7 from various directions.
The image contains a mathematical expression and questions related to limits. Here's the transcription suitable for an educational website: --- **Function Definition:** \[ f(a) = \frac{a^2 + 11a + 28}{a^3 - 6a^2 - 63a + 392} \] **Limit Problems:** a) \(\lim_{a \to 7^-} f(a)\) b) \(\lim_{a \to 7^+} f(a)\) c) \(\lim_{a \to 7} f(a)\) --- To solve these problems, one must evaluate the behavior of the function \( f(a) \) as \( a \) approaches 7 from various directions.
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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![The image contains a mathematical expression and questions related to limits. Here's the transcription suitable for an educational website:
---
**Function Definition:**
\[ f(a) = \frac{a^2 + 11a + 28}{a^3 - 6a^2 - 63a + 392} \]
**Limit Problems:**
a) \(\lim_{a \to 7^-} f(a)\)
b) \(\lim_{a \to 7^+} f(a)\)
c) \(\lim_{a \to 7} f(a)\)
---
To solve these problems, one must evaluate the behavior of the function \( f(a) \) as \( a \) approaches 7 from various directions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe4f043a-40ec-446c-a7ff-f52648c59722%2F2d0516c0-c46f-4f59-b8c6-13ca904790bf%2Ftp8u7fg.jpeg&w=3840&q=75)
Transcribed Image Text:The image contains a mathematical expression and questions related to limits. Here's the transcription suitable for an educational website:
---
**Function Definition:**
\[ f(a) = \frac{a^2 + 11a + 28}{a^3 - 6a^2 - 63a + 392} \]
**Limit Problems:**
a) \(\lim_{a \to 7^-} f(a)\)
b) \(\lim_{a \to 7^+} f(a)\)
c) \(\lim_{a \to 7} f(a)\)
---
To solve these problems, one must evaluate the behavior of the function \( f(a) \) as \( a \) approaches 7 from various directions.
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