Suppose lim f(x) = L, where L = R and lim g(x) = +∞. 8+←8 1. Prove: if L > 0, then lim f(x)g(x) 8+← 8+←8 = +∞. 2. If L 0, is that true lim f(x)g(x) = +∞0? Show your argument. = 8+←8
Suppose lim f(x) = L, where L = R and lim g(x) = +∞. 8+←8 1. Prove: if L > 0, then lim f(x)g(x) 8+← 8+←8 = +∞. 2. If L 0, is that true lim f(x)g(x) = +∞0? Show your argument. = 8+←8
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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Transcribed Image Text:Suppose lim f(x) = L, where L = R and lim g(x) = +∞.
8+←8
1. Prove: if L > 0, then lim f(x)g(x)
8+←
8+←8
= +∞.
2. If L 0, is that true lim f(x)g(x) = +∞0? Show your argument.
=
8+←8
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