Lim(x+y)/(x2-xy+y2) (x,y)→(∞,∞)这个怎么算Lim(x,y)→(∞,∞) (x+y)/(x2-xy+y2)
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Lim(x+y)/(x2-xy+y2) (x,y)→(∞,∞)这个怎么算Lim(x,y)→(∞,∞) (x+y)/(x2-xy+y2)
Lim(x+y)/(x2-xy+y2) (x,y)→(∞,∞)这个怎么算
Lim(x,y)→(∞,∞) (x+y)/(x2-xy+y2)
Lim(x+y)/(x2-xy+y2) (x,y)→(∞,∞)这个怎么算Lim(x,y)→(∞,∞) (x+y)/(x2-xy+y2)
∵(x+y)/(x²-xy+y²)=(x+y)/[(x-y)²+xy]≤(x+y)/(xy)
∴0≤│(x+y)/(x²-xy+y²)│≤│(x+y)/(xy)│
≤(│x│+│y│)/│xy│
=1/│y│+1/│x│
-->0+0=0 (当(x,y)-->(0,0)时)
故原式=0
=0
Lim(x+y)/(x2-xy+y2) (x,y)→(∞,∞)这个怎么算Lim(x,y)→(∞,∞) (x+y)/(x2-xy+y2)
(x-y)(x2+xy+y2)
(x+y)(x2-xy+y2)
求lim(x→0,y→1)(1-xy)/(x2+y2)=____
因式分解x2+y2-xy-x-y+1
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(x-y)(x2+xy+y2)-xy(y-x)
4x2-y2/x2-2xy+y2 +(2x-y)/2x2-2xy
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