Find the following limits proving whether they exist or do not exist 5y¹ cos²x x² + y² C) D) lim (x,y) → (0,0) x² sin² y lim (x,y) → (0,0) x² + 2y²

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 12E
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1. Find the following limits proving whether they exist or do not exist
5y¹ cos²x
x² + y²
C)
D)
lim
(x,y) → (0,0)
x² sin² y
lim
(x,y) → (0,0) x² + 2y²
2
Transcribed Image Text:1. Find the following limits proving whether they exist or do not exist 5y¹ cos²x x² + y² C) D) lim (x,y) → (0,0) x² sin² y lim (x,y) → (0,0) x² + 2y² 2
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