limx->0,y->0(xy/(x^2+y^2))^2
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limx->0,y->0(xy/(x^2+y^2))^2limx->0,y->0(xy/(x^2+y^2))^2limx->0,y->0(xy/(x^2+y^2))^2令x=rcosa,y=rsina
limx->0,y->0(xy/(x^2+y^2))^2
limx->0,y->0(xy/(x^2+y^2))^2
limx->0,y->0(xy/(x^2+y^2))^2
令x=rcosa,y=rsina
原式=lim(r--->0)r²cosasina/r^4=lim(r--->0)cosasina/r²
所以不存在
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