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2 When proving the limit lim(11x + 2) = 35, and e > 0 is given, what is an appropriate choice for 6? x-3 Select the correct answer below: 20 W S 8=, or smaller 8=-, or smaller 8 = fo or smaller 0 8 = - 유. O 8=, or smaller Previous X 3 -8=-, or smaller E or smaller D $ 4 C R ↓ F % 5 FS T V MacBook Air 6 G F6 Y B & 7 84 H U +00 8 N J ( 9 FO K M ) $10 V 1 - P g6

2 When proving the limit lim(11x + 2) = 35, and e > 0 is given, what is an appropriate choice for 6? x-3 Select the correct answer below: 20 W S 8=, or smaller 8=-, or smaller 8 = fo or smaller 0 8 = - 유. O 8=, or smaller Previous X 3 -8=-, or smaller E or smaller D $ 4 C R ↓ F % 5 FS T V MacBook Air 6 G F6 Y B & 7 84 H U +00 8 N J ( 9 FO K M ) $10 V 1 - P g6

Calculus: Early Transcendentals
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:** *When proving the limit* $$\lim_{{x \to 3}} (11x + 2) = 35,$$ *and* $$\epsilon > 0$$ *is given, what is an appropriate choice for* $$\delta$$? **Select the correct answer below:** - ⭘ $$\delta = \frac{\epsilon}{11}, \text{ or smaller}$$ - ⭘ $$\delta = \frac{\epsilon}{3}, \text{ or smaller}$$ - ⭘ $$\delta = \frac{\epsilon}{10}, \text{ or smaller}$$ - ⭘ $$\delta = -\frac{\epsilon}{11}, \text{ or smaller}$$ - ⭘ $$\delta = \frac{\epsilon}{3}, \text{ or smaller}$$ - ⭘ $$\delta = -\frac{\epsilon}{10}, \text{ or smaller}$$ **Note:** To solve the problem, evaluate the relationship between the given limit expression and the epsilon-delta definition of a limit. Analyze the function \(11x + 2\) and how changes in \(x\) around 3 affect the output within the desired epsilon range.
Transcribed Image Text:**Question:** *When proving the limit* $$\lim_{{x \to 3}} (11x + 2) = 35,$$ *and* $$\epsilon > 0$$ *is given, what is an appropriate choice for* $$\delta$$? **Select the correct answer below:** - ⭘ $$\delta = \frac{\epsilon}{11}, \text{ or smaller}$$ - ⭘ $$\delta = \frac{\epsilon}{3}, \text{ or smaller}$$ - ⭘ $$\delta = \frac{\epsilon}{10}, \text{ or smaller}$$ - ⭘ $$\delta = -\frac{\epsilon}{11}, \text{ or smaller}$$ - ⭘ $$\delta = \frac{\epsilon}{3}, \text{ or smaller}$$ - ⭘ $$\delta = -\frac{\epsilon}{10}, \text{ or smaller}$$ **Note:** To solve the problem, evaluate the relationship between the given limit expression and the epsilon-delta definition of a limit. Analyze the function \(11x + 2\) and how changes in \(x\) around 3 affect the output within the desired epsilon range.
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