Question For the function f(x): = Provide your answer below: a. lim f(x) = x → 5 b. lim f(x) = x → 5+ (2x² - 4x -4x3 X 4.9 4.99 4.999 4.9999 4.99999 if x < 5 if x ≥ 5' evaluate the left and right limits using the table shown below. 2x² - 4x X -4x - 3 28.42 5.1 -23.4 29.8402 5.01 -23.04 29.984002 5.001 -23.004 29.99840002 5.0001 -23.0004 29.9998400002 5.00001 -23.00004
Question For the function f(x): = Provide your answer below: a. lim f(x) = x → 5 b. lim f(x) = x → 5+ (2x² - 4x -4x3 X 4.9 4.99 4.999 4.9999 4.99999 if x < 5 if x ≥ 5' evaluate the left and right limits using the table shown below. 2x² - 4x X -4x - 3 28.42 5.1 -23.4 29.8402 5.01 -23.04 29.984002 5.001 -23.004 29.99840002 5.0001 -23.0004 29.9998400002 5.00001 -23.00004
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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![### Question
For the function \( f(x) =
\begin{cases}
2x^2 - 4x & \text{if } x < 5 \\
-4x - 3 & \text{if } x \geq 5
\end{cases} \), evaluate the left and right limits using the table shown below.
| \( x \) | \( 2x^2 - 4x \) | \( x \) | \( -4x - 3 \) |
| ------------- | --------------------- | ----------- | ------------- |
| 4.9 | 28.42 | 5.1 | -23.4 |
| 4.99 | 29.8402 | 5.01 | -23.04 |
| 4.999 | 29.984002 | 5.001 | -23.004 |
| 4.9999 | 29.99840002 | 5.0001 | -23.0004 |
| 4.99999 | 29.9998400002 | 5.00001 | -23.00004 |
**Provide your answer below:**
a. \( \lim_{x \to 5^-} f(x) = \) [ ]
b. \( \lim_{x \to 5^+} f(x) = \) [ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffcf92b5-4154-452a-af6b-b4e696e552b0%2F1192c2ab-34ea-4d6c-a3a9-33799c93267b%2F8hfkxe8_processed.png&w=3840&q=75)
Transcribed Image Text:### Question
For the function \( f(x) =
\begin{cases}
2x^2 - 4x & \text{if } x < 5 \\
-4x - 3 & \text{if } x \geq 5
\end{cases} \), evaluate the left and right limits using the table shown below.
| \( x \) | \( 2x^2 - 4x \) | \( x \) | \( -4x - 3 \) |
| ------------- | --------------------- | ----------- | ------------- |
| 4.9 | 28.42 | 5.1 | -23.4 |
| 4.99 | 29.8402 | 5.01 | -23.04 |
| 4.999 | 29.984002 | 5.001 | -23.004 |
| 4.9999 | 29.99840002 | 5.0001 | -23.0004 |
| 4.99999 | 29.9998400002 | 5.00001 | -23.00004 |
**Provide your answer below:**
a. \( \lim_{x \to 5^-} f(x) = \) [ ]
b. \( \lim_{x \to 5^+} f(x) = \) [ ]
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