求极限lim(x趋向于1)(2x/x+1)^(2x/x-1)的解
问题描述:
求极限lim(x趋向于1)(2x/x+1)^(2x/x-1)的解
答
公式:lim(x趋向于0)(1+x)^(1/x)=e求极限lim(x趋向于1)(2x/(x+1))^(2x/(x-1))=lim(x趋向于1)((x+1+x-1)/(x+1))^((x+1+x-1)/(x-1))=lim(x趋向于1)(1+(x-1)/(x+1))^(1+(x+1)/(x-1))=lim(x趋向于1)(1+(x-1)/(x+1))^1*li...