lim x

(lim)x/(x-y)(lim)x/(x-y)(lim)x/(x-y)令y=kx,则x/(x-y)=x/[(1-k)x]=1/(1-k).lim_{x->0}{x/[(1-k)x]}=1/(1-k)

limx→limx→limx→limx→1=limx→1=limx→1=limx→1=1/(√4+2)=1/(2+2)=1/4

lim(x(sin)^2)lim(x(sin)^2)lim(x(sin)^2)x趋于多少?

limxlnx(x->+0)limxlnx(x->+0)limxlnx(x->+0)lim(x→0+)xlnx=lim(x→0+)lnx/(1/x)=lim(x→0+)(1/x)/(-1/x^2)=l

(lim)x/x-y=(lim)x/x-y=(lim)x/x-y=你这个题目存在很多问题,(lim)x/x-y是X除以X在减去Y呢,还是除以（X-Y）这个整体啊,细节问题啊,值得注意.如果我猜的没错的

lim（x-3/x+1）^xlim趋向无穷大lim（x-3/x+1）^xlim趋向无穷大lim（x-3/x+1）^xlim趋向无穷大关键：分类讨论||x-1|-3|+|3x+1|当x≥4,则:x-4+

"紧急!"..微积分..lim(Lnx/x)X->0LIM是多少啊..LIM(INX/X)x->0"紧急!"..微积分..lim(Lnx/x)X->0LIM是多少啊..LIM(INX/X)x->0"紧

lim(1-sinx)^1/xlimx趋于零lim(1-sinx)^1/xlimx趋于零lim(1-sinx)^1/xlimx趋于零=lime^[ln(1-sinx)/x]=lime^[-sinx/x

x趋向0limxcotxx趋向0limxcotxx趋向0limxcotx1xcotX=xcosx/sinx=cosx*(x/sinx)x→0时,cosX=1下面求limx→0sinx/x的极限用夹挤定

lim(x→0)xsinxlim(x→0)xsinxlim(x→0)xsinx用到一条性质,无穷小与一个有界函数的乘积仍为无穷小,因此lim(x→0)xsinx=00

lim(1+a/x)bxlim(1+a/x)bx lim(1+a/x)bx=e^limbx·ln(1+a/x)=e^limbx·(a/x)【等价无穷小代换】=e^(ab)

6.lim/xtanxx-06.lim/xtanxx-06.lim/xtanxx-0This question,a little bit difficult..

lim(0-∞)/(x+1)lim(0-∞)/(x+1)lim(0-∞)/(x+1)0..

lim(1-sinx)^1/xlim(1-sinx)^1/xlim(1-sinx)^1/x0^无穷大型都是转换成指数后利用洛必达法则y=(1-sinx)^(1/x)lny=(1/x)ln(1-sinx

求lim（x->无穷大）求lim（x->无穷大）求lim（x->无穷大）x->正无穷大ln(1+3^x)等价于ln3^x=x*ln3ln(1+2^x)等价于x*ln2ln3/ln2x->负无穷大ln(

lim(lnx)-1/(x-e)lim(lnx)-1/(x-e)lim(lnx)-1/(x-e)lim(x→e)(lnx-1)/(x-e)=lim(x→e)(1/x)/1=lim(x→e)1/x=1/

lim(x->0)3x/(sinx-x)lim(x->0)3x/(sinx-x)lim(x->0)3x/(sinx-x)无穷大.sinx和x是同一阶的,于是lim(sinx/x)=1.

lim((x+sinx)/(x-cosx))x->无穷lim((x+sinx)/(x-cosx))x->无穷lim((x+sinx)/(x-cosx))x->无穷lim((x+sinx)/(x-cos

lim(x-cosx)/xx→-∞lim(x-cosx)/xx→-∞lim(x-cosx)/xx→-∞x→-∞lim(x-cosx)/x=lim1-cosx/x=lim1-limcosx/x=1-li

lim(x→0)x-sinx/xlim(x→0)x-sinx/xlim(x→0)x-sinx/x原式=0-1=-1lim(x→0)sinx/x=sinc(0)=0因为：在0附近,sinx=x-x^3/