6. Does the limit of the functions exist as (x,y) → (0,0). Prove or disprove. i) ii) iii) f(x,y) = f(x,y) = f(x, y) = y²-x6 x³y x²+sin² y 2x²+y² xy4 x²+y8
6. Does the limit of the functions exist as (x,y) → (0,0). Prove or disprove. i) ii) iii) f(x,y) = f(x,y) = f(x, y) = y²-x6 x³y x²+sin² y 2x²+y² xy4 x²+y8
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:6. Does the limit of the functions exist as (x,y) → (0,0). Prove or disprove.
i)
ii)
iii)
f(x,y)
=
f(x,y) =
f(x, y) =
y²-x6
x³y
x² +sin² y
2x²+y²
xy4
x²+y8
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