By considering different paths of approach, show that the function has no limit as (x,y)→(0,0). f(x,y) = Find the limit as (x,y)→(0,0) along the path y = x for x> 0. (Type an exact answer, using radicals as needed.)

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 function has no limit as (x,y)→(0,0).
X
f(x,y) =
2
+y?
Find the limit as (x,y)→(0,0) along the path y =x for x> 0.
(Type an exact answer, using radicals as needed.)
Transcribed Image Text:By considering different paths of approach, show that the function has no limit as (x,y)→(0,0). X f(x,y) = 2 +y? Find the limit as (x,y)→(0,0) along the path y =x for x> 0. (Type an exact answer, using radicals as needed.)
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