求極限lim(x→1)(x⌒n -1)/(x-1)=? n為正整數

求極限lim(x→1)(x⌒n -1)/(x-1)=? n為正整數

x^n -1 =(x-1)[1+x+x^2+……+x^(n-2)+x^(n-1)]
lim(x→1)(x⌒n -1)/(x-1)=1+x+x^2+……+x^(n-2)+x^(n-1)]
=n(n+1)/2