Let f(x,y)=2xy/(x^2+y^2)^1/2
(x,y) not equal to (0,0) , f(0,0)=0
Show fyx(0,0) not equal to fxy(0,0)
using method fxy= lim k->0 [ fx(0,k)-fx(0,0)]/k
fyx=lim h->0 [ fy(h,0)-fy(0,0)]/h

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Well nothing is stupid . Thats how you prove limits. Google it !

yeah i know limits, but then you must mean in the second line that
lim f(0,0) = 0
x,y->0
right??

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