6:25 PM 0.5KB/s ← Basic-Calculus-P... 3. lim f(x) = 2, x-2- lim f(x) = -2 and f(2)= 0 x-2+ 5. lim f(x) dne, lim f(x) = 0 and f(-1) = 0 4. lim_ f(x) dne, x-2- .... .... lim f(x) dne, and f(-2) = 0 x+2+ 6. lim f(x) dne, lim_ f(x) = 0 and f(-1) = -1 2/4 37

Calculus: Early Transcendentals
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Author:James Stewart
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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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Basic-Calculus-P...
3. lim f(x) = 2,
x-2-
lim f(x) = -2 and f(2)= 0
x→2+
5. lim f(x) dne, lim f(x) = 0
and f(-1) = 0
7. f(x) has only one discontinuity
lim f(x) = -1, f(-1) = 4,
x-1
lim f(x) = -1
x-0
9. The function increases without
bound as x approaches 0
and f(0) = -2
Domain: 4 < x < 4
4. lim f(x) dne,
x-2-
0
.... ....
lim f(x) dne, and f(-2) = 0
2+
6. lim f(x) dne, lim_ f(x) = 0
and f(-1)=-1
□
8. f(x) = 3 if x < -1, lim f(x) dne,
f(-1) = -3, and f(0) = 3
Domain: R
and lim f(x) = 1
x-1-
10. There is a jump discontinuity
at x = 1, f(1) is undefined,
37
Transcribed Image Text:6:25 PM | 0.5KB/s ← Basic-Calculus-P... 3. lim f(x) = 2, x-2- lim f(x) = -2 and f(2)= 0 x→2+ 5. lim f(x) dne, lim f(x) = 0 and f(-1) = 0 7. f(x) has only one discontinuity lim f(x) = -1, f(-1) = 4, x-1 lim f(x) = -1 x-0 9. The function increases without bound as x approaches 0 and f(0) = -2 Domain: 4 < x < 4 4. lim f(x) dne, x-2- 0 .... .... lim f(x) dne, and f(-2) = 0 2+ 6. lim f(x) dne, lim_ f(x) = 0 and f(-1)=-1 □ 8. f(x) = 3 if x < -1, lim f(x) dne, f(-1) = -3, and f(0) = 3 Domain: R and lim f(x) = 1 x-1- 10. There is a jump discontinuity at x = 1, f(1) is undefined, 37
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