Show directly from definitions that if f(x) and g(x) are real func- tions, bounded on [0, 1], and so that lim f(x) = 2 and lim g(x) = 3, then x→0+ x+0+ lim f(x) g(x) = 6. x+0+
Show directly from definitions that if f(x) and g(x) are real func- tions, bounded on [0, 1], and so that lim f(x) = 2 and lim g(x) = 3, then x→0+ x+0+ lim f(x) g(x) = 6. x+0+
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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advance math
![Show directly from definitions that if f(x) and g(x) are real func-
tions, bounded on [0, 1], and so that lim f(x) = 2 and lim g(x)
3, then
x+0+
x+0+
lim f(x) g(x) = 6.
x→0+
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41826a80-baca-4c61-a588-2491c7e7163a%2F995392dd-1b66-4aa9-bfaa-59f26051b2a1%2Fb71oyayd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Show directly from definitions that if f(x) and g(x) are real func-
tions, bounded on [0, 1], and so that lim f(x) = 2 and lim g(x)
3, then
x+0+
x+0+
lim f(x) g(x) = 6.
x→0+
=
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