Which of the following statements are correct for C-4y lim (,1) (0,0) 2y +3 I) Approaching along the line y = x, the value is 3. so the limit is 3 5 -- 5' -- 5° II) Approaching along the line y = x, the value %3D is but this does not imply that the limit -- exists.
Which of the following statements are correct for C-4y lim (,1) (0,0) 2y +3 I) Approaching along the line y = x, the value is 3. so the limit is 3 5 -- 5' -- 5° II) Approaching along the line y = x, the value %3D is but this does not imply that the limit -- exists.
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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Step 1
Let's move across the path y = x
We get the value of -3/5 but that doesn't mean that limit exists. Hence, statement II is correct.
Step 2
Let's move across the path x = my
Thus, the limit is a function of m, i.e. it's path dependent. The limit is not path independent. Hence, the statement IV is also correct.
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