lim(x→∞)[(X^2+2x+5)/(3x^2-x+1) =

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lim(x→∞)[(X^2+2x+5)/(3x^2-x+1)=lim(x→∞)[(X^2+2x+5)/(3x^2-x+1)=lim(x→∞)[(X^2+2x+5)/(3x^2-x+1)=无穷大时只考虑

lim(x→∞)[(X^2+2x+5)/(3x^2-x+1) =
lim(x→∞)[(X^2+2x+5)/(3x^2-x+1) =

lim(x→∞)[(X^2+2x+5)/(3x^2-x+1) =

无穷大时只考虑高阶的系数就可以了,本题是x²的系数

上下分别同除以X的平方,在X趋向于无穷时,分子为1,分母为3,等于1/3.

1/3