(c) lim (x,y)→(0,0) 2x²y x¹ + 2y²

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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Question

Find each limit or show why the limit does not exist.

(c)
lim
(x,y)→(0,0)
2x2y
x4 + 2y2
Transcribed Image Text:(c) lim (x,y)→(0,0) 2x2y x4 + 2y2
Expert Solution
Step 1

For a two-variable function the limit is obtained by converting the limit into one variable 

The limit must be same for every path. 

The limit does not depends on path. 

The limit must be unique.

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