lim(x^n-1)/(x-1)(x趋向于1n为正整数)的极限
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lim(x^n-1)/(x-1)(x趋向于1n为正整数)的极限lim(x^n-1)/(x-1)(x趋向于1n为正整数)的极限lim(x^n-1)/(x-1)(x趋向于1n为正整数)的极限lim(x^n
lim(x^n-1)/(x-1)(x趋向于1n为正整数)的极限
lim(x^n-1)/(x-1)(x趋向于1n为正整数)的极限
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
(x^n-1)'/(x-1)'=nx^(n-1)/1=nx^(n-1)
x->1，x^(n-1)->1
lim(x^n-1)/(x-1)=n
x->1
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