For the function f(x,y) = (a) Find x³y 3x + y² lim f(x,y) along any straight line y = mx. (x,y)-(0,0)" (b) Find 3 lim f(x,y) along the curve y=x³ (x,y)-(0,0) (c) What can be said about lim f(x,y)? (x,y)(0,0)

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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For the function f(x,y)
(a) Find
=
x³y
3x+
lim f(x,y) along any straight line y = mx.
(x,y)(0,0)
(b) Find
lim f(x,y) along the curve y=x3.
(x,y)-(0,0)"
(c) What can be said about
lim f(x,y)?
(x,y)(0,0)
Transcribed Image Text:For the function f(x,y) (a) Find = x³y 3x+ lim f(x,y) along any straight line y = mx. (x,y)(0,0) (b) Find lim f(x,y) along the curve y=x3. (x,y)-(0,0)" (c) What can be said about lim f(x,y)? (x,y)(0,0)
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