x2 + xy? lim (x,y)→(1,2) x4 + 2y2 or show that it does not exist. 2. (a) Evaluate the limit + xy? or show that it does not exist. x2 (b) Evaluate the limit lim (x,y)→(0,0) x4 + 2y2 (c) Suppose 1. We can conclude that f(3,2) : 1. Answer TRUE or lim (x,y)→(3,2) FALSE, then explain your answer. f(x, y)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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x² + xy²
2. (a) Evaluate the limit
lim
(x,y)→(1,2) x4 + 2y2
or show that it does not exist.
x² + xy?
(b) Evaluate the limit
lim
(x,y)→(0,0) x4 + 2y?
or show that it does not exist.
(c) Suppose
lim f(x, y) = 1. We can conclude that f (3, 2) = 1. Answer TRUE or
(x,y)→(3,2)
FALSE, then explain your answer.
Transcribed Image Text:x² + xy² 2. (a) Evaluate the limit lim (x,y)→(1,2) x4 + 2y2 or show that it does not exist. x² + xy? (b) Evaluate the limit lim (x,y)→(0,0) x4 + 2y? or show that it does not exist. (c) Suppose lim f(x, y) = 1. We can conclude that f (3, 2) = 1. Answer TRUE or (x,y)→(3,2) FALSE, then explain your answer.
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