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) =∞