Lim(x趋向2)(x^3+2x^2)/(x-2)^2怎么做?

lim(x趋向0) x^2 / (sin^2) * x/3 lim(x趋向0) x^2 / (sin^2) * x/3 lim(x趋向无穷)[1-(2/x)]^3x lim(1+3x)^(2/x)x趋向于零 lim(x趋向无穷大)[1+2/(x+2)]^(x+2) lim(x^2+1)/(2x^+1) x趋向0 lim x趋向0 x^2-sinx/x+sinx lim(x趋向0)ln(1+sin x)/x^2 lim x趋向无穷大 (1+2/x)^x=? lim（x/（1+x^2））,x趋向无穷大 lim(x趋向无穷)-(x+1)+√(x^2+1) lim(x趋向于0)(x*cotx-1)/(x^2) lim x趋向0 (1+cos^2(1/x))^x lim(x趋向无穷）(cos1/根号x)^2x lim[(sin x)^tan x],x趋向于Pai/2 lim(1-2x)^1/x x趋向于0 lim x趋向无穷 {（2x^3+x)sin (2/x) }/ x^2+1 求极限,lim(x趋向于1)(x^2-2x+1)/(x^3-x)