lim(x→无穷大)[(4+x)/(2+x)]^x
正确答案是：e^2
lim(x→无穷大)[(4+x)/(2+x)]^x
=lim(x→无穷大)[(4+x)/(2+x)]^x
=lim(x→无穷大)[1+2/(2+x)]^x
=lim(x→无穷大){[1+2/(2+x)]^[(x+2)/2]}^2*
lim(x→无穷大){[1+2/(2+x)]^(-2)
=e^2
lim(x→无穷大)[(4+x)/(2+x)]^x
=lim(x→无穷大)[(4+x)/(2+x)]^x
=lim(x→无穷大)[1+2/(2+x)]^x
=lim(x→无穷大){[1+2/(2+x)]^[(x+2)/2]}^2*
lim(x→无穷大){[1+2/(2+x)]^(-2)
=e^2
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