[分析]偏導數
f(x,y)= (2xy)/(x^2+y^2) for all (x,y)≠(0,0)
Determine the existence of the limt
解:
lim lim (2xy)/(x^2+y^2)=0
x→0 y→0
lim lim (2xy)/(x^2+y^2)=0
y→0 x→0
Along y=x lim(2y^2)/(2y^2)=1
y→0
the double limit doesn't exist.
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06/11 20:55, , 1F
06/11 20:55, 1F