lim(x→∞)[(x+3)/(x-1)]^x
=lim(x→∞)[1+4/(x-1)]^x
=lim(x→∞)[1+4/(x-1)]^(x-1)*lim(x→∞)[1+4/(x-1)]
=lim(x→∞){[1+4/(x-1)]^[(x-1)/4]}^4
=e^4
极限lim(x趋近于∞)[(x+3)/(x-1)]^x等于多少?
极限lim(x趋近于∞)[(x+3)/(x-1)]^x等于多少?
数学人气:902 ℃时间:2019-09-21 06:39:43
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