The function f is defined for all in the interval 3 < x < 6. Which of the following statements, if true, implies that limf(x) = 12? 5 A (В C D There exists a function g with f(x) ≤ g(x) for 3 < x < 6, and limg(x) = 12. x-5 There exists a function g with g(x) ≤ f(x) for 3 < x < 6, and limg(x) = 12. x-5 There exist functions g and h with g(x) ≤ f(x) ≤ h(x) for 3 < x < 6, and limg(x) = 11 and limh (x) = 13. 2-5 There exist functions g and h with g(x) ≤ f(x) ≤ h(x) for 3 < x < 6, and limg(x) = limh(x) = 12. x-5 x-5

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 4
The function f is defined for all x in the interval 3 < x < 6. Which of the following statements, if true, implies that limf(x) = 12?
x-5
B
C
D
There exists a function g with f(x) < g(x) for 3 < x < 6, and limg(x) = 12.
x-5
There exists a function g with g(x) ≤ f(x) for 3 < x < 6, and limg(x) = 12.
x-5
There exist functions g and h with g(x) ≤ f(x) ≤ h(x) for 3 < x < 6, and limg(x) = 11 and limh (x) = 13.
x-5
1-5
There exist functions g and h with g(x) ≤ f(x) ≤ h(x) for 3 < x < 6, and limg(x) = limh(x) = 12.
Transcribed Image Text:Question 4 The function f is defined for all x in the interval 3 < x < 6. Which of the following statements, if true, implies that limf(x) = 12? x-5 B C D There exists a function g with f(x) < g(x) for 3 < x < 6, and limg(x) = 12. x-5 There exists a function g with g(x) ≤ f(x) for 3 < x < 6, and limg(x) = 12. x-5 There exist functions g and h with g(x) ≤ f(x) ≤ h(x) for 3 < x < 6, and limg(x) = 11 and limh (x) = 13. x-5 1-5 There exist functions g and h with g(x) ≤ f(x) ≤ h(x) for 3 < x < 6, and limg(x) = limh(x) = 12.
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