By considering appropriate curves which approach (0,0) (or other- wise), show that there is no value of f(0,0) which makes the function f(r, y) = in(y/x), (r, y) # (0,0) continuous at the origin. %3D

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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6.
By considering appropriate curves which approach (0,0) (or other-
wise), show that there is no value of f(0,0) which makes the function f(r,y)
sin(y/x), (r, y) 7 (0,0) continuouus at the origin.
%3D
Transcribed Image Text:6. By considering appropriate curves which approach (0,0) (or other- wise), show that there is no value of f(0,0) which makes the function f(r,y) sin(y/x), (r, y) 7 (0,0) continuouus at the origin. %3D
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