limx趋向于无穷(x^2+1)/(x+1)的值
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limx趋向于无穷(x^2+1)/(x+1)的值
limx趋向于无穷(x^2+1)/(x+1)的值
limx趋向于无穷(x^2+1)/(x+1)的值
无穷,分子的次数比分母高.
答案:∞ lim(x→∞) (x+1)/(x^2+1) (上下同时除以x^2) =lim(x→∞) (1/x+1/x^2)/(1+1/x^2) =0/1 =0 所以, lim(x→∞) (x^2+1)/(x+1) =∞