1: Evaluate the following limits. x³y - x lim (x,y) →(0,0) x² + y² x³ a) b) lim (x,y) →(4,1) c) 4x²y + 3xy² – 12y³ x² - xy - 12y² sin x(cos y − 1) lim (x,y) (0,0) In(y + 1) tan-¹ x

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.CR: Chapter 6 Review
Problem 44CR
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1: Evaluate the following limits.
- X
x³ y
lim
(x,y) →(0,0) x² + y²
a)
b)
lim
(x,y) →(4,1)
lim
(x,y)→(0,0)
x³ − 4x²y + 3xy² – 12y³
x² - xy - 12y²2
sin x(cos y − 1)
-1
ln(y + 1) tan-¹ x
Transcribed Image Text:1: Evaluate the following limits. - X x³ y lim (x,y) →(0,0) x² + y² a) b) lim (x,y) →(4,1) lim (x,y)→(0,0) x³ − 4x²y + 3xy² – 12y³ x² - xy - 12y²2 sin x(cos y − 1) -1 ln(y + 1) tan-¹ x
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