2. Evaluate the following limits if they exist: sin(x2 + y?) (a) lim (x,y) (0,0) 2x² + 2y2 xy (b) lim (2,y)→(0,0) x2 + y?° xy? x2 + y4 (c) lim (r,y) (0,0) r2 + y1

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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2. Evaluate the following limits if they exist:
sin(x2 + y²).
(a)
lim
(x,y)→(0,0) 2² + 2y2
xy
(b)
lim
(x,y)→(0,0) x2 + y²"
ry?
(c)
lim
(r,y) (0,0) x2 + y4"
Transcribed Image Text:2. Evaluate the following limits if they exist: sin(x2 + y²). (a) lim (x,y)→(0,0) 2² + 2y2 xy (b) lim (x,y)→(0,0) x2 + y²" ry? (c) lim (r,y) (0,0) x2 + y4"
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