Determine whether the following statements are True or False? y = f(x) 2 X (a) lim f(x) = 1 (b) lim f(x) does not exist. x→-1+ x-2 (c) lim f(x) = 2 (d) lim_ f(x) = 2 x-17

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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5.
Determine whether the following statements are True or False?
y = f(x)
2
X
0
1
2
(a) lim f(x) = 1
(b) lim f(x) does not exist.
x-1¹
x-2
(c) lim f(x) = 2
(d) lim f(x) = 2
x→2
(e) lim f(x) = 1
(f) lim f(x) does not exist.
x→1+
x-1
(g) lim f(x) = lim_f(x)
x→0
(h) lim f(x) exists at every c in (-1, 1).
X-C
(i) lim f(x) exists at every c in (1, 3).
X-C
x→0+
3
Transcribed Image Text:5. Determine whether the following statements are True or False? y = f(x) 2 X 0 1 2 (a) lim f(x) = 1 (b) lim f(x) does not exist. x-1¹ x-2 (c) lim f(x) = 2 (d) lim f(x) = 2 x→2 (e) lim f(x) = 1 (f) lim f(x) does not exist. x→1+ x-1 (g) lim f(x) = lim_f(x) x→0 (h) lim f(x) exists at every c in (-1, 1). X-C (i) lim f(x) exists at every c in (1, 3). X-C x→0+ 3
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