5. Find limx→∞ f (X), if it exists. (a) f(x) = log(x² + 2y² + 4z²) x² + y² +2² (c) f(x) = e(x+y)² (e) f(x) = (b) f(x) = 316 Chapter 5 Real-Valued Functions of Several Variables (sin(x² - y²) x² - y2 1. x = ±y, x = ±y sin(x² + y²) √x² + y² (d) f(x) = e-x²-y2

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
5.
Find limx→∞ f (X), if it exists.
log(x² + 2y² + 4z²)
x² + y² +2²
(a) f(x) =
(c) f(x) = e(x+y)²
(e) f(x) =
316 Chapter 5 Real-Valued Functions of Several Variables
(sin(x² - y²)
x² - y2
1,
(b) f(x) =
x = ±y,
x = ±y
sin(x² + y²)
√x² + y²
(d) f(x) = e-x²-y2
Transcribed Image Text:5. Find limx→∞ f (X), if it exists. log(x² + 2y² + 4z²) x² + y² +2² (a) f(x) = (c) f(x) = e(x+y)² (e) f(x) = 316 Chapter 5 Real-Valued Functions of Several Variables (sin(x² - y²) x² - y2 1, (b) f(x) = x = ±y, x = ±y sin(x² + y²) √x² + y² (d) f(x) = e-x²-y2
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