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
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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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