lim(x^n-1)/(x-1)(x趋向于1n为正整数)的极限

问题描述:

lim(x^n-1)/(x-1)(x趋向于1n为正整数)的极限

lim(x^n-1)/(x-1)=limx^(n-1)+x^(n-2)+...+1
故x趋向于1时,其极限为n