当X趋于1时(x^2-4x+3)/(x-1)的极限还有几道也帮忙看看吧当X趋于无穷大时(4x^3+2x^2+3x+1)/(2x^3+2)当X趋于0时(sin3x)/(tan4x)当X趋于0时(1-x)^(2/x)全部答出才给分

lim((x^2-4x+3)/(x-1))
=lim((x-1)(x-3)/(x-1))
=lim(x-3)
=4
lim((4x^3+2x^2+3x+1)/(2x^3+2))
=lim((4+(2/x)+(3/x^2)+(1/x^3))/(2+2/x^3))
=lim((4+0+0+0)/(2+0)
=2
根据lim sinx = x,lim tgx = x
lim(sin3x)/(tan4x)
=(lim sin3x)/(lim tg4x)
=(lim 3x)/(lim 4x)
=lim(3/4)
=3/4
根据lim(1+x)^(1/x)=e
lim(1-x)^(2/x)
=lim((1+(-x))^(-1/x))^(-2)
=lim e^(-2)
=1/(e^2)

1、lim(x→1)(x^2－4x＋3)/(x－1)＝lim(x→1) (x－1)(x－3)/(x－1) ＝lim(x→1) (x－3) ＝1－3＝－22、lim(x→∞) (4x^3＋2x^2＋3x＋1)/(2x^3＋2) 分子分母同除以x^3＝lim(x→∞) (4＋2/x＋3/x^2＋1/x^3)/(2＋2/x^3...