Answered: (x+y)sin - 1 (x, y)# (0,0) The function…

(x+y)sin - 1 (x, y)# (0,0) The function f(x,y)= { (x+y) is ; (x,y)= 0 a. Continuous at (0,0) b. Not Continuous at (0,0) c. Limit does not exist at (0,0) d. Limit exist and equal to 1

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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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
|(x+y)sin
: (x. y)# (0,0)
(x+y)
The function f(x,y)=-
is
; (x, y)= 0
Continuous at (0,0)
b. Not Continuous at (0,0)
c. Limit does not exist at (0,0)
d. Limit exist and equal to 1
а.

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