By considering different paths of approach, show that the limits in Exercises 15 and 16 do not exist. x? + y? lim 15. (ху) —— (0,0) х2 y#x? lim 16. (х, у) —-(0,0) xy#0 xy
By considering different paths of approach, show that the limits in Exercises 15 and 16 do not exist. x? + y? lim 15. (ху) —— (0,0) х2 y#x? lim 16. (х, у) —-(0,0) xy#0 xy
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![By considering different paths of approach, show that the limits in
Exercises 15 and 16 do not exist.
x? + y?
lim
15.
(ху) —— (0,0) х2
y#x?
lim
16.
(х, у) —-(0,0)
xy#0
xy](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faddd048f-bb89-4267-b54c-271529ad2bd2%2F5d55259f-4025-4d2a-8c1f-fdfcea9e2308%2Fw6b8m9v.png&w=3840&q=75)
Transcribed Image Text:By considering different paths of approach, show that the limits in
Exercises 15 and 16 do not exist.
x? + y?
lim
15.
(ху) —— (0,0) х2
y#x?
lim
16.
(х, у) —-(0,0)
xy#0
xy
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