Compute the limit, or show that it does not exist: xy + xy? lim (x,y)→(0,0) x² + y² Compute the limit, or show that it does not exist: x³y? + x²y³ x4 + y4 2..3 lim (x,y)→(0,0)

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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MULTIVARIABLE CALCULUS, VECTOR CALCULUS, VECTORS

COMPUTE THE LIMIT OR SHOW IT DOES NOT EXIST

3. (а)
Compute the limit, or show that it does not exist:
xy + xy²
lim
(x,y)→(0,0) x² + y2
(b)
Compute the limit, or show that it does not exist:
lim
(x,y)→(0,0)
x³y? + x²y³
x4 + y4
Transcribed Image Text:3. (а) Compute the limit, or show that it does not exist: xy + xy² lim (x,y)→(0,0) x² + y2 (b) Compute the limit, or show that it does not exist: lim (x,y)→(0,0) x³y? + x²y³ x4 + y4
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