Let f be some function for which you know only that if 0< |x – 3| < 1 , then f (x) – 5< 0.1 . Which of the following statements are necessarily true? (a) If |x- 3 <1, then f(x) - 5 <0.1 . (b) If |x – 2.5| < 0.3 , then f (x) - 5<0.1 (c) limf (x) = 5 (d) If 0< |x – 3| <2, then f (x) – 5 <0.1. (e) If 0< x- 3 <0.5 , then f (x) – 5 <0.1. then f (x) - 5|<(0.1). (g) If 0< |x – 3|<1, then f (x) – 5 <0.2. (h) If 0< |x – 3| <1, then f (x) - 4.95 <0.05 . (i) If lim f (x) = L , then 4.9
Let f be some function for which you know only that if 0< |x – 3| < 1 , then f (x) – 5< 0.1 . Which of the following statements are necessarily true? (a) If |x- 3 <1, then f(x) - 5 <0.1 . (b) If |x – 2.5| < 0.3 , then f (x) - 5<0.1 (c) limf (x) = 5 (d) If 0< |x – 3| <2, then f (x) – 5 <0.1. (e) If 0< x- 3 <0.5 , then f (x) – 5 <0.1. then f (x) - 5|<(0.1). (g) If 0< |x – 3|<1, then f (x) – 5 <0.2. (h) If 0< |x – 3| <1, then f (x) - 4.95 <0.05 . (i) If lim f (x) = L , then 4.9
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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Transcribed Image Text:Let f be some function for which you know only that
if 0< |x – 3| < 1 , then f (x) – 5< 0.1 .
Which of the following statements are necessarily true?
(a) If |x- 3 <1, then f(x) - 5 <0.1 .
(b) If |x – 2.5| < 0.3 , then f (x) - 5<0.1
(c) limf (x) = 5
(d) If 0< |x – 3| <2, then f (x) – 5 <0.1.
(e) If 0< x- 3 <0.5 , then f (x) – 5 <0.1.
then f (x) - 5|<(0.1).
(g) If 0< |x – 3|<1, then f (x) – 5 <0.2.
(h) If 0< |x – 3| <1, then f (x) - 4.95 <0.05 .
(i) If lim f (x) = L , then 4.9 <L< 5.1 .
(1) 4.9< lim ƒ (x)< 5.1
x 3
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