1. (Note: Before you attempt this problem, solve Problem 1 and 3 from Practice problems for Unit 2 on Quercus or Problem 2.1-7 in the textbook. Otherwise you may find this question difficult.) Sketch the graph of a function f that satisfies all 10 conditions below simultaneously. For this question, you do not need to prove or explain your answer, as long as the graph is correct and very clear. (a) The domain of f is R. (b) lim f(x) does not exist when a € {-2, 2, 4), and x→a the limit exists for all other a E R. (c) lim f(x)=0 x-0 (d) lim [f(x)] does not exist x-0 (e) lim f(x) = -x x4-2- (f) lim f(x) = ∞ x⇒2 (g) lim [f(x)]² = 4 x 4 (h) lim f(f(x)) = 3 x→4+ (i) lim f(x) = 2 811X (5(₁) - 2) = (j) lim f x-2 = -3 To clarify, we want one single function f that satisfies all the conditions in all the parts, all at once. Make your graph tidy and unambiguous.
1. (Note: Before you attempt this problem, solve Problem 1 and 3 from Practice problems for Unit 2 on Quercus or Problem 2.1-7 in the textbook. Otherwise you may find this question difficult.) Sketch the graph of a function f that satisfies all 10 conditions below simultaneously. For this question, you do not need to prove or explain your answer, as long as the graph is correct and very clear. (a) The domain of f is R. (b) lim f(x) does not exist when a € {-2, 2, 4), and x→a the limit exists for all other a E R. (c) lim f(x)=0 x-0 (d) lim [f(x)] does not exist x-0 (e) lim f(x) = -x x4-2- (f) lim f(x) = ∞ x⇒2 (g) lim [f(x)]² = 4 x 4 (h) lim f(f(x)) = 3 x→4+ (i) lim f(x) = 2 811X (5(₁) - 2) = (j) lim f x-2 = -3 To clarify, we want one single function f that satisfies all the conditions in all the parts, all at once. Make your graph tidy and unambiguous.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please do part h) i) and j)
![1. (Note: Before you attempt this problem, solve Problem 1 and 3 from Practice problems for Unit 2 on
Quercus or Problem 2.1-7 in the textbook. Otherwise you may find this question difficult.)
Sketch the graph of a function f that satisfies all 10 conditions below simultaneously. For this question,
you do not need to prove or explain your answer, as long as the graph is correct and very clear.
(a) The domain of f is R.
(b) lim f(x) does not exist when a € {−2, 2,4}, and (g)
x→a
the limit exists for all other a E R.
(c) lim f(x) = 0
x-0
(d) lim[f(x)] does not exist
x-0
(e) lim f(x) = -x
x--2-
(f) lim f(x) = ∞
x 2
lim[ƒ(x)]² = 4
x 4
(h) lim f(f(x)) = 3
x→4+
(i) lim f(x) = 2
X118
(j) lim f
ƒ
x-2 f(x)
-
2
= -3
To clarify, we want one single function f that satisfies all the conditions in all the parts, all at once.
Make your graph tidy and unambiguous.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe07e7f8c-44de-4a6a-b1c8-484f099be240%2F97a6e1dd-ab38-437a-b941-324783c94a2f%2F03ng0e3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. (Note: Before you attempt this problem, solve Problem 1 and 3 from Practice problems for Unit 2 on
Quercus or Problem 2.1-7 in the textbook. Otherwise you may find this question difficult.)
Sketch the graph of a function f that satisfies all 10 conditions below simultaneously. For this question,
you do not need to prove or explain your answer, as long as the graph is correct and very clear.
(a) The domain of f is R.
(b) lim f(x) does not exist when a € {−2, 2,4}, and (g)
x→a
the limit exists for all other a E R.
(c) lim f(x) = 0
x-0
(d) lim[f(x)] does not exist
x-0
(e) lim f(x) = -x
x--2-
(f) lim f(x) = ∞
x 2
lim[ƒ(x)]² = 4
x 4
(h) lim f(f(x)) = 3
x→4+
(i) lim f(x) = 2
X118
(j) lim f
ƒ
x-2 f(x)
-
2
= -3
To clarify, we want one single function f that satisfies all the conditions in all the parts, all at once.
Make your graph tidy and unambiguous.
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