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
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 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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