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
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
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Question
![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"](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7bbdb36e-ff6e-432e-bbe1-6472b6ed6a93%2F6f167bd5-192f-475c-96df-270d2d012e9c%2F3ds3fyk_processed.jpeg&w=3840&q=75)
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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