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3 Define { Evaluate the following limits as (x,y) → (1,0) of G(x, y): • along the line y=0- i.e. lim-1 G(x,0) • along the line x = 1 - i.e. lim, 0 G(1, y) along the line x-1=y- i.e. lim, o G(y + 1, y). G(x, y) = (z-1)²+y 0 Determine whether G is continuous at (1,0). if (x, y) = (1,0), if (x, y) = (1,0).

3 Define { Evaluate the following limits as (x,y) → (1,0) of G(x, y): • along the line y=0- i.e. lim-1 G(x,0) • along the line x = 1 - i.e. lim, 0 G(1, y) along the line x-1=y- i.e. lim, o G(y + 1, y). G(x, y) = (z-1)²+y 0 Determine whether G is continuous at (1,0). if (x, y) = (1,0), if (x, y) = (1,0).

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 Define (x-1)² (x-1)²+y² G(x, y) Evaluate the following limits as (x,y) → (1,0) of G(x, y): along the line y=0- i.e. lim-1 G(x,0) along the line = 1- i.e. lim, 0 G(1, y) 0 if (x, y) = (1,0), if (x, y) = (1,0). along the line-1-y-i.e. lim, 0 G(y + 1, y). →0 Determine whether G is continuous at (1,0).
Transcribed Image Text:3 Define (x-1)² (x-1)²+y² G(x, y) Evaluate the following limits as (x,y) → (1,0) of G(x, y): along the line y=0- i.e. lim-1 G(x,0) along the line = 1- i.e. lim, 0 G(1, y) 0 if (x, y) = (1,0), if (x, y) = (1,0). along the line-1-y-i.e. lim, 0 G(y + 1, y). →0 Determine whether G is continuous at (1,0).
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