lim(x->无穷)（(x^3+3x)^(1/3)-(x^2-x)^(1/2)）,用泰勒公式求,最好有具体步骤如题

lim(x趋向于无穷)(1+3/x)^(x-3) lim(x趋向无穷)[1-(2/x)]^3x lim趋向正无穷(x+1/x)^3x lim趋于无穷.(x+2/x+3)^2x lim趋向正无穷(x+1/x)^3x lim(x+sinx)/(3x-arctanx)(x趋于无穷） lim x-无穷 (√3x^2+1)/x+1 lim(x+1)^x+1(x+3)^x+3/x^2x+4 x趋于无穷 关于极限1.lim((x^-1) + (x^-4))/((x^-2) - (x^-3)) x-> 正无穷2.lim ((e^x) - (e^-x))/((e^x) + (e^-x)) x-> 负无穷 lim（x->无穷）sinx-tanx/e^x^3-1 lim x→正无穷 sin2x/3x =什么 x趋近于无穷 lim [xsin(1/3x) ]=? 利用无穷小量,计算下列极限x-无穷,lim（2x^3-x-1）x-无穷,lim arctan x/x 求lim(x^2+2x)/(x^3-3x+2),x→无穷的极限 lim (1-X-X^3)/(x+x^3) X 趋于正无穷 极限无穷小? lim (1-X-X^3)/(x+x^3) X 趋于正无穷 极限无穷小? lim x趋向无穷 {（2x^3+x)sin (2/x) }/ x^2+1 lim(2^x+3^x+5^x)^(1/x)x-->正无穷