Show that the limit xycosy lim (x.y)(0,0) 2x +y² does not exist.

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.
Chapter9: Multivariable Calculus
Section9.3: Maxima And Minima
Problem 27E
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Show that the limit
x²ycosy
lim
(x.y)→(0,0) 2x4 +y²
does not exist.
Transcribed Image Text:Show that the limit x²ycosy lim (x.y)→(0,0) 2x4 +y² does not exist.
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