第3个回答 2012-10-29
lim(1-x)^2/x x->0
=e^(lim(x->0))(-x)*2/x
=e^(-2)
lim(1+2x)^1/x x->0
=e^(lim(x->0))(2x)*1/x
=e²
lim(x / x+1 )^x x->∞
=1/【lim(x->∞)(1+1/x)^x】
=1/e
lim( 2x+3 / 2x+1 )^x+1 x->∞
=lim(x->∞)(1+2/(2x+1))^(x+1)
=e^[lim(x->∞)2/(2x+1)*(x+1)]
==e^[lim(x->∞)2(x+1)/(2x+1)]
=e