3. The limits below do not exist. Verify this by showing two different pathways that result in different limits. a) b) lim (x-3) (0,0) x² + y² sin(3x+4y) lim (x,y) x(0,0) 2x-y

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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3. The limits below do not exist. Verify this by showing two different pathways that result in different limits.
a)
b)
x7²
lim
(x,y) (0,0) x² + y²
4
lim
(x,y) (0,0)
sin(3x+4y)
2x-y
Transcribed Image Text:3. The limits below do not exist. Verify this by showing two different pathways that result in different limits. a) b) x7² lim (x,y) (0,0) x² + y² 4 lim (x,y) (0,0) sin(3x+4y) 2x-y
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