Determine lim f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.) x→6+ -2x² + 3x - 2 if x < -5 -5 ≤ x ≤ 6 f(x) = -2x - 1 3 if x > 6 = if

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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### Problem Statement

**Determine** \( \lim_{{x \to 6^+}} f(x) \) **given the definition of** \( f(x) \) **below. (If the limit does not exist, enter DNE.)**

\[ 
f(x) = \begin{cases} 
-2x^2 + 3x - 2 & \text{if } x < -5 \\ 
-2x - 1 & \text{if } -5 \leq x \leq 6 \\ 
3 & \text{if } x > 6 
\end{cases} 
\]
Transcribed Image Text:### Problem Statement **Determine** \( \lim_{{x \to 6^+}} f(x) \) **given the definition of** \( f(x) \) **below. (If the limit does not exist, enter DNE.)** \[ f(x) = \begin{cases} -2x^2 + 3x - 2 & \text{if } x < -5 \\ -2x - 1 & \text{if } -5 \leq x \leq 6 \\ 3 & \text{if } x > 6 \end{cases} \]
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