lim(z,y) → (0,0)7x5 + sin' y4x5 + y5Find the limitalong two different paths. No decimal entries allowed.72³ + sin y4x5 + y%Along the path y = x :lim(1,y) → (0,0)7x5 + sin' yAlong the path y =lim(1,y) → (0,0)- x :4x5 + y5725 + sin° y4x5 + y55lim(1,y) → (0,0)

Answered: Image /qna-images/answer/3255f2b6-410e-4946-8ca8-23d7ee7819cd.jpg

lim (z,y) → (0,0) 7x5 + sin y 4x5 + y5 Find the limit along two different paths. No decimal entries allowed. 725 + sin' y Along the path y = x : lim (1,y) → (0,0) 4x5 + y° 7x + sin' y Along the path y = lim (1,y) → (0,0) - x: 4x5 + y5 7x5 + sin° y lim (1,y) → (0,0) 4x5 + y5

lim (z,y) → (0,0) 7x5 + sin y 4x5 + y5 Find the limit along two different paths. No decimal entries allowed. 725 + sin' y Along the path y = x : lim (1,y) → (0,0) 4x5 + y° 7x + sin' y Along the path y = lim (1,y) → (0,0) - x: 4x5 + y5 7x5 + sin° y lim (1,y) → (0,0) 4x5 + y5

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

lim
(z,y) → (0,0)
7x5 + sin' y
4x5 + y5
Find the limit
along two different paths. No decimal entries allowed.
72³ + sin y
4x5 + y%
Along the path y = x :
lim
(1,y) → (0,0)
7x5 + sin' y
Along the path y =
lim
(1,y) → (0,0)
- x :
4x5 + y5
725 + sin° y
4x5 + y5
5
lim
(1,y) → (0,0)

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