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Q3: A) Find the limits below x² + sin²y 1) lim (x,y) (0,0) 2x² + y² 2) lim (x, y)-(1,1) x² - 2xy + y² x-y

Q3: A) Find the limits below x² + sin²y 1) lim (x,y) (0,0) 2x² + y² 2) lim (x, y)-(1,1) x² - 2xy + y² x-y

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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Q3: A) Find the limits below x² + sin²y x² - 2xy + y² 1) lim (x,y) (0,0) 2x² + y² lim y)→(1,1) x-y x*y (x²-y² (x, y) = (0,0) B) Let f(x,y)= x²y² 0 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point ? 2) (x,
Transcribed Image Text:Q3: A) Find the limits below x² + sin²y x² - 2xy + y² 1) lim (x,y) (0,0) 2x² + y² lim y)→(1,1) x-y x*y (x²-y² (x, y) = (0,0) B) Let f(x,y)= x²y² 0 (x, y) = (0,0) Is f continuous at (0,0) ? Is f continuous at every point ? 2) (x,
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