Attempt 14 Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim (f(x) · g(x)) does exist. x-0 Choose the appropriate functions. □ f(x) = g(x) = 6 X f(x) = [6x]. g(x) = [6x] x<0 f(x) = x < 0 1, *20*8(x) = X>0 0 1. -1.
Attempt 14 Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim (f(x) · g(x)) does exist. x-0 Choose the appropriate functions. □ f(x) = g(x) = 6 X f(x) = [6x]. g(x) = [6x] x<0 f(x) = x < 0 1, *20*8(x) = X>0 0 1. -1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![Attempt 14
Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim (f(x) · g(x)) does exist.
x-0
x-0
Choose the appropriate functions.
0
6
f(x) = -—. g(x) =
X
f(x) = [6x]. g(x) = [6x]
-1.
f(x) =
x < 0
{₁
1,
*20*8(x) =
x < 0
x20
0/00)=80x0=-
6
g(x)
fix) = 16x]. g(x) = [6x]
(G.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fde2e912e-8c9c-4439-af75-743cb70f8122%2Ffdf1514e-ed71-4246-ab38-0913c2d778ac%2Fx9s63fo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Attempt 14
Identify the functions f and g such that lim f(x) does not exist, lim g(x) does not exist, but lim (f(x) · g(x)) does exist.
x-0
x-0
Choose the appropriate functions.
0
6
f(x) = -—. g(x) =
X
f(x) = [6x]. g(x) = [6x]
-1.
f(x) =
x < 0
{₁
1,
*20*8(x) =
x < 0
x20
0/00)=80x0=-
6
g(x)
fix) = 16x]. g(x) = [6x]
(G.
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