由(x^2+y^2)^2≤2*(x^4+y^4),则(x^2+y^2)/(x^4+y^4)≤2/(x^2+y^2).当x→ +∞,y→ +∞时,x^2+y^2→ +∞,即1/(x^2+y^2)→ 0.由夹逼定理知,为0