Y=(x^2-2x-3)/(x^2+3x+2)的水平和垂直渐近线怎么求?
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Y=(x^2-2x-3)/(x^2+3x+2)的水平和垂直渐近线怎么求?
Y=(x^2-2x-3)/(x^2+3x+2)的水平和垂直渐近线怎么求?
Y=(x^2-2x-3)/(x^2+3x+2)的水平和垂直渐近线怎么求?
求水平渐近线只要求在x趋于无穷时,Y的极限值
Y=(x^2-2x-3)/(x^2+3x+2)
=(1 -2/x -3/x^2) / (1 +3/x +2/x^2)
当x趋于正无穷和负无穷时,显然Y的极限都等于1,
故y=1是Y的水平渐近线
而求垂直渐近线实质上是求Y的无穷间断点,
即x趋于某一值时,Y趋于无穷大
Y=(x^2-2x-3)/(x^2+3x+2)
=(x-3)(x+1) / (x+1)(x+2)
显然只能在x= -2时,Y才趋于无穷大,
即x= -2是Y的垂直渐近线
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