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
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Chapter2: Second-order Linear Odes
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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.
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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