lim(x,y)→(0,0)x²+y².3) show that the following limit does not existtanlim √x y²/(x+y³)(x,y) →(0,0)16

Given; Lim(x,y)-(0,0)x1/3y2/(x+y3).

Answered: 3) show that the following limit C lim…

Math

Calculus

3) show that the following limit C lim √√x y²/(x+y³) (x,y) →(0,0)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter9: Multivariable Calculus

Section9.3: Maxima And Minima

Problem 27E

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Question

lim
(x,y)→(0,0)
x²+y².
3) show that the following limit does not exist
tan
lim √x y²/(x+y³)
(x,y) →(0,0)
16

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