为什么x趋近于无穷lim(3+x/6+x)^(x-1/2)=lim[(3/x+1)/(6/x+1)]^(x-1/2)=1

x趋近于无穷时 lim(x+1/2x-1)^x=? lim (sqrt(x+2)-sqrt(x))/(sqrt(x+1)-sqrt(x)) (X趋近于正无穷) 【急】大一微积分lim[x-x^2ln(1+1/x)] x趋近于无穷 求极限x趋近于无穷,lim(x^2*arcsin1/x)/4x-1 函数lim x趋近于负无穷 e^1-x/x+x^2 求极限 求极限 x趋近于正无穷 Lim{[x^(1+x)]/[(1+x)^x]-x/e} lim x趋近于无穷大 (1-x)∧x=? lim(x趋近于正无穷)(根号(x^2+2)+2x)^2/(3x^2+1) lim x趋近于无穷[(√x^2+2)+2x]^2/3x^2+1 求极限.微积分. 已知lim{(x^2+1)/(x^3+x)-ax-b}=0(x趋近无穷),求a,b的值 x趋近于无穷时lim(1/x+1)^[(1/2x)+1] lim [e^(lnx /x)-1] / x^(-1/2) x趋近于正无穷