1-ex 18. Determine lim x→0 x A. 0 C. 1 B. -1 D. DNE x²-1 19. Evaluate lim x-0 √x-1 A. 2 C. 1 B. 4 D. DNE 20. A function f(x) is said to be continuous at x=c if the following conditions are satisfied EXCEPT A. f(c) exists B. lim f(x) exists X-C C. f(c) = lim f(x) X-C D. f(c) lim f(x) X-C 21. In what value of x is g(x) = x²-9 x+3 discontinuous? A. 9 C.-9 B. 3 D. -3 √x-1 22. Is h(x) continuous at x=1? x-1 C. undefined D. cannot be determined 2 = A. Yes B. No

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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1-ex
18. Determine lim
x→0 X
A. 0
C. 1
B. -1
D. DNE
x²-1
19. Evaluate lim
x-0 √x-1
A. 2
C. 1
B. 4
D. DNE
20. A function f(x) is said to be continuous at x=c if the following conditions are satisfied EXCEPT
A. f(c) exists
B. lim f(x) exists
X→C
C. f(c) = lim f(x)
X→C
D. ƒ(c) ‡ lim ƒ (x)
X→C
x²-9
21. In what value of x is g(x) =
=
discontinuous?
x+3
A. 9
C.-9
B. 3
D. -3
√x-1
22. Is h(x) =
continuous at x=1?
x-1
A. Yes
C. undefined
B. No
D. cannot be determined
(20
2
Transcribed Image Text:1-ex 18. Determine lim x→0 X A. 0 C. 1 B. -1 D. DNE x²-1 19. Evaluate lim x-0 √x-1 A. 2 C. 1 B. 4 D. DNE 20. A function f(x) is said to be continuous at x=c if the following conditions are satisfied EXCEPT A. f(c) exists B. lim f(x) exists X→C C. f(c) = lim f(x) X→C D. ƒ(c) ‡ lim ƒ (x) X→C x²-9 21. In what value of x is g(x) = = discontinuous? x+3 A. 9 C.-9 B. 3 D. -3 √x-1 22. Is h(x) = continuous at x=1? x-1 A. Yes C. undefined B. No D. cannot be determined (20 2
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