计算：lim[1/x+1/(x^2)ln(1-x)]

计算：lim[1/x+1/(x^2)ln(1-x)] 怎么计算lim(x->0+)x^(1/2)*ln(sinx)? lim[ln(1+x)+ln(1-x)]/(tanx)^2 计算极限lim（x→∞）[x-(x^2)ln(1+1/x)] 计算lim(π/2-arctanx)/ln(1+1/x) x→+∞ lim(x->0)ln(1+2x)/e^x-1 lim(x趋向0)ln(1+sin x)/x^2 lim(x趋于0)[ln(1+2x)]/x lim(x趋近于0)[1/ln(x+根号1+x^2)-1/ln(1+x)] 求 lim ln(1+x+2x^2)+ln(1-x+x^2)/secx-cosx lim(x→0)(cosx)^(1/ln(1+x^2)) lim ln(1+e^x)/根号(1+x^2) lim ln(1+e^x)/根号(1+x^2) lim(x→0)ln（x^2+1）等于 lim x趋于0 ln (1+2x)/sin3x 为什么 lim ln[(1+1/x)^x]=ln e 用麦克劳林公式计算下列极限lim((1-x)^1/2+1/2x-cosx)/(ln(1+x)-x) x趋近于0lim(x-x^2ln(1+1/x)) x趋近无穷 用麦克劳林公式计算下列极限lim((1-x)^1/2+1/2x-cosx)/(ln(1+x)-x) x趋近于0lim(x-x^2ln(1+1/x)) x趋近无穷