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3. a) Examine if the following limit exists, x + y + 1 lim (x,y) (0,0) In(x2 + y²)* If the limit exist, specify the value of the limit value. (

3. a) Examine if the following limit exists, x + y + 1 lim (x,y) (0,0) In(x2 + y²)* If the limit exist, specify the value of the limit value. (

Calculus: Early Transcendentals
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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3. a) Examine if the following limit exists, If the limit exist, specify the value of the limit value. ( b) Is it possible to define f(0,1) such that f becomes continuous at the point (0,1) when f(x,y) = x+y+1 lim (x,y) (0,0) In(x2 + y²)* x² + y²-1 x² + y² - 2y + 1 (Motivate your answer.) (1 for (x,y) (0,1)?
Transcribed Image Text:3. a) Examine if the following limit exists, If the limit exist, specify the value of the limit value. ( b) Is it possible to define f(0,1) such that f becomes continuous at the point (0,1) when f(x,y) = x+y+1 lim (x,y) (0,0) In(x2 + y²)* x² + y²-1 x² + y² - 2y + 1 (Motivate your answer.) (1 for (x,y) (0,1)?
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