Find the limits lim f(x, y), (x,y)→(1,π) lim g(x, y), (x,y)→(0,0) for the functions f(x,y) = y/x − sin(xy), g(x,y) = (xy + 2y^3) / (x^2 + y^2)
Find the limits lim f(x, y), (x,y)→(1,π) lim g(x, y), (x,y)→(0,0) for the functions f(x,y) = y/x − sin(xy), g(x,y) = (xy + 2y^3) / (x^2 + y^2)
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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Question
Find the limits
lim f(x, y),
(x,y)→(1,π)
lim g(x, y),
(x,y)→(0,0)
for the functions
f(x,y) = y/x − sin(xy),
g(x,y) = (xy + 2y^3) / (x^2 + y^2)
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