求极限lim(x趋向于1)(2x/x+1)^(2x/x-1)的解
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求极限lim(x趋向于1)(2x/x+1)^(2x/x-1)的解
求极限lim(x趋向于1)(2x/x+1)^(2x/x-1)的解
求极限lim(x趋向于1)(2x/x+1)^(2x/x-1)的解
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*lim(x趋向于1)(1+(x-1)/(x+1))^((x+1)/(x-1))
=1*e=e
用软件做出来答案是e
过程还是等别人吧
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