Lim(x趋向2)(x^3+2x^2)/(x-2)^2怎么做?

Question

Lim(x趋向2)(x^3+2x^2)/(x-2)^2怎么做?

Answer 1

因为lim(x趋向2)(x-2)^2/(x^3+2x^2)=0/16,所以由无穷小与无穷大的关系得,lim(x趋向2)(x^3+2x^2)/(x-2)^2=正无穷