1) Show that the limit doesn't exists :3x23x2 Jy1)2), lim(x,y)→(0,0) x² + y²lim(x,y)-(0,0) x2 + y2ysinxx²yz3)4) lim(x,y,z)→(0,0,0) x4+y++z*lim(x,y)→(0,0) x2+y2

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Answered: 3x2 1) lim (x,y)-(0,0) x2 + y² + y2…

Math

Calculus

3x2 1) lim (x,y)-(0,0) x2 + y² + y2 ysinx

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

1) Show that the limit doesn't exists :
3x2
3x2 Jy
1)
2), lim
(x,y)→(0,0) x² + y²
lim
(x,y)-(0,0) x2 + y2
ysinx
x²yz
3)
4) lim(x,y,z)→(0,0,0) x4+y++z*
lim
(x,y)→(0,0) x2+y2

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