求lim(x→∞)[(x+1)/(x-1)]^x
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lim(x→∞)[(x+1)/(x-1)]^x
=lim(x→∞)[1+2/(x-1)]^x
=lim(x→∞)[1+2/(x-1)]^[(x-1)/2 *2x/(x-1)]
=lim(x→∞)e^2x/(x-1)
=e²
=lim(x→∞)[1+2/(x-1)]^x
=lim(x→∞)[1+2/(x-1)]^[(x-1)/2 *2x/(x-1)]
=lim(x→∞)e^2x/(x-1)
=e²
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