Let f(x, y) = x¹ y ¹ (x² + y²)³° Show that lim f(x,y) does not exist. (x,y) →(0,0)

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
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Let f(x, y)
=
x ¹ y ¹
(x² + y²)³
.
Show that
lim f(x,y) does not exist.
(x,y) → (0,0)
Transcribed Image Text:Let f(x, y) = x ¹ y ¹ (x² + y²)³ . Show that lim f(x,y) does not exist. (x,y) → (0,0)
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