由题意得到,x>0原式=lim{n^2 x^(1/(1+n))[x^(1/n(n+1)-1]} 把括号里x^(1/(n+1))提出来=lim{[n/(n+1)] x^(1/(1+n))[x^(1/n(n+1)-x^0] / ([(1/n(n+1)]-0])}=lim[n/(n+1)] x^(1/(1+n)) lim[(x^t-x^0)/(t-0)] t趋向于0=l...