limx→0(3-2x2-2x)^x

limx→∞(3x/x2+5)lim3x/(x^2+5)=lim(3/x)/(1+5/x^2)=0.

求极限limx→∞x2＋2/2x2-x-3原式=lim(x→∞)(1+2/x^2)/(2-1/x-3/x^2)=(1+0)/(2+0+0)=1/2

求limx→2（x2-3x+1/x-2）的极限

limx→-2+时求11/(x2+3x+2)极限 求计算过程啊11/x2+3x+2=11/(x+1)-11/(x+2)然后把x等于-2代入式子得到极限值等于-11.

limx→1x^2-x+1/x-1=limx→0+x^sinx=limx→1(x^2-x+1)/(x-1)分子极限为1,分母极限为0,∴limx→1(x^2-x+1)/(x-1)=∞limx→0+x^sinx设y=x^sinx,取对数得,l

limx→0(2+x／2-x)∧1/x原式=exp{lim{x->0}1/x*ln(2+x)/(2-x)}=exp{lim{x->0}[ln(2+x)-ln(2-x)]/x}由洛比达法则=exp{lim{x->0}[1/(2+x)+1/(2

limx→0(e^x-1)x^2/x-sinxlimx→0(e^x-1)x^2/【x-sinx】罗比塔法则=limx→0【2x(e^x-1)+e^x*x^2】/（-cosx）=0

limx-0(1-3根号1-x+x^2)/xx→0时[1-3√(1-x+x^2)]/x不存在,[1-(1-x+x^2)^(1/3)]/x=(1-x)/[1+(1-x+x^2)+(1-x+x^2)^(2/3)]（分子有理化）→1/3.

limx趋于0(2^x-3^x)/xlimx趋于0(2^x-3^x)/x=limx趋于0(2^x-1+1-3^x)/x=limx趋于0(2^x-1)/x+limx趋于0(1-3^x)/x=limx趋于0(xln2)/x+limx趋于0(-x

求极限limx→0,X2,sin2,1/xlim(x→∞)x²*(sin1/x)²显然在x趋于∞的时候,1/x趋于0,那么sin1/x也趋于0,于是sin1/x等价于1/x所以原极限=lim(x→∞)x²*(1

limx趋近于0x2/sin2（x/3）lim(x->0)x^2/(sin(x/3))^2(0/0)=lim(x->0)2x/sin(2x/3)(0/0)=lim(x->0)2/[(2/3)cos(2x/3)]=3应该是1吧

limx→∞(x+3/x-2)^x求极限limx→∞(x+3/x-2)^x求极限lim(x->∞)[(x+3)/(x-2)]^x=lim(x->∞)[1+5/(x-2)]^x=e^lim(x->∞)[5x/(x-2)]=e^lim(x->∞

求解limx^(1/1-x)x→1lim((2-x)/(3-x))^(1/x)x→1limx^(1/(1-x))x→1lim((2-x)/(3-x))^(1/x)x→1第二个问题错了lim((2-x)/(3-x))^(1/x)x→0limx

limx→-∞√(2x2+x-1)-√(2x2-3x-5)的极限是2乘以x的平方，坑爹的百度复制时直接给弄没了！分子有理化原式等于lim[(2x^2+x-1)-(2x^2-3x-5)]/[√(2x2+x-1)+√(2x2-3x-5)]=li

limx→02sinx-sin2x/x^3的极限lim(x→0)(2sinx-sin2x)/x^3=lim(x→0)(2sinx-2sinxcosx)/x^3=lim(x→0)2sinx(1-cosx)/x^3=lim(x→0)2x*x^2

求3个极限:limx→0sin3x/2x=?limx→∞xsin(1/x)=?limx→0[sin(1/x)]/(1/x)=?limx→0sin3x/2x=limsin3x/3x*(3/2)根据重要的极限=(3/2)*1=3/2limx→∞

limx→02x/(xcosx/2+sinx/2)=limx→02/(3/2cosx/2-x/2sinx/2)求助是怎么化过来的lim(x->0)2x/(xcos(x/2)+sin(x/2))(0/0L'sHospitalrule)=lim

limx→0{(tanx-x)/x^3}lim(x→0){(tanx-x)/x^3}=lim(x→0{(tanx-x)'/(x^3)'=lim(x→0{(1/cosx^2-1)'/(3x^2)'=lim(x→0)(2sinx/cosx^3)

limx→0(f(x)/x^2)=5求limx→0f(x)与limx→0(f(x)/x)limx→0(f(x)/x^2)=5得到f(x)=5x^2+o(x^2),o(x^2)代表x^3或更高次的x项.因此limx→0f(x)=limx→0(

limx趋近于0x-5/x-5为多少limx趋近于3x-3/x^2-2x-3为多少limx趋近于0x/x为多少limx趋近于无穷5^3+27/20x^2+10x+9为多少哎不会的题有点多这块儿不太懂讲解一下怎么算的3Qlimx趋近于3x-3