7. Evaluate the limit or explain why it does not exist. (a) (b) (c) lim (x,y)-(2,-1) lim (x,y) → (0,0) x² - 4y² x + 2y x²y + sin(y), y sin(xy) lim (x,y) (0,0) x2 + 3y²

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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7. Evaluate the limit or explain why it does not exist.
(a)
(b)
(c)
x²4y²
lim
(x,y)-(2,-1) x + 2y
lim
(x,y) → (0,0)
x²y + sin(y),
y
sin(xy)
lim
(x,y) (0,0) x2 + 3y²
Transcribed Image Text:7. Evaluate the limit or explain why it does not exist. (a) (b) (c) x²4y² lim (x,y)-(2,-1) x + 2y lim (x,y) → (0,0) x²y + sin(y), y sin(xy) lim (x,y) (0,0) x2 + 3y²
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