Find Lim (x² (X, Y) → (0, 0) + Y²) Log (x² + Y²)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
5)
Find Lim
(X, Y) →
(x² + Y²) Log (x²
(0, 0)
+ Y²)
Transcribed Image Text:5) Find Lim (X, Y) → (x² + Y²) Log (x² (0, 0) + Y²)
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I'm confused about the first part of the solution where it says we know 0x < 1. Is that supposed to be 0 < x < 1 ?? Also not how we know log < 1/sqrt(x). Haven't taken any math class in a very long time and struggling with the concept of limits. Also not sure how the sandwich theorem works. Thanks so much for the help

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