lim x趋向于无穷 (1+2x)^1/x=?,为什么

lim(arctan1/x)/(1/x),x趋向于无穷,为什么? lim(x趋向于无穷)(1+3/x)^(x-3) x趋向于无穷时 lim (3x-1)/(x^3 乘以 sin(1/x^2 )) lim(x,y)趋向于(无穷,a) (1+1/x)^(x^2/(x+y))answer:e 求lim x趋向于无穷时(-X)/(2X^2+3x-1)答案 lim(x趋向于正无穷) (根号x^2+x -根号x^2+1) lim(((x^2)/(1+x^2))^x）x趋向于无穷求大神详解 lim x趋向于正无穷x(√1+x^2 -x )= lim(x趋向无穷)-(x+1)+√(x^2+1) lim(x趋向无穷)[1-(2/x)]^3x lim(1-2/x)^x/2+1(x趋向于无穷)求极限 lim(x趋向于负无穷)((x^2+1)^1/2+x)怎么做? 求lim（x趋向于无穷）（1-1/x^2)^x的极限 lim(1-2x)∧1/x x趋向于正无穷 lim x趋向于无穷 {1+[2/（1+x）]}^x lim(1-2x)1/x=?x趋向于无穷 lim x趋向于无穷 (1+2x)^1/x=?,为什么 求lim x趋向于无穷{1+（1/2x)}^-x ?