limx趋近于0sec2xtanx/x

limx趋近于0sin3x/2xlimx趋近于0sin3x/2xlimx趋近于0sin3x/2xlim(x→0)sin3x/2x=lim(x→0)(sin3x/3x)*(3/2)=lim(3x→0)(

limx趋近于0tan2x分之xlimx趋近于0tan2x分之xlimx趋近于0tan2x分之x解利用等价无穷小x→0tan2x→2xlimx趋近于0(x/tan2x)=limx趋近于0(x/2x)=

limx趋近于0lnsinx/xlimx趋近于0lnsinx/xlimx趋近于0lnsinx/xlim(sinx/x)=1y=lnu在u=1处连续limln(sinx/x)=ln1=0

limx趋近于0x分之tan2xlimx趋近于0x分之tan2xlimx趋近于0x分之tan2x

limx趋近于0x乘cot3xlimx趋近于0x乘cot3xlimx趋近于0x乘cot3x用等价无穷小代换,cot3x=1/tan3x~1/3x

limx趋近于0xlnxlimx趋近于0xlnxlimx趋近于0xlnx看成lnx除以x分之一limx→0（lnx/（1/x））用洛必达法则可得到limx→0（-x）=0推广limx→0(x^n╳ln

limx趋近于0lnarccosxlimx趋近于0lnarccosxlimx趋近于0lnarccosxlimx趋近于0lnarccosx=lnarccos0=ln(π/2)

limx趋近于0x^(x^x-1)的极限limx趋近于0x^(x^x-1)的极限limx趋近于0x^(x^x-1)的极限

证明x趋近于0+limx[1/x]=1证明x趋近于0+limx[1/x]=1证明x趋近于0+limx[1/x]=1取整函数的性质：1/x--1

limx趋近于0(sinx/x)^(1/x^2)limx趋近于0(sinx/x)^(1/x^2)limx趋近于0(sinx/x)^(1/x^2)若看不清楚,可点击放大.

limx趋近于0+x·e^1/xlimx趋近于0+x·e^1/xlimx趋近于0+x·e^1/x极限=limy趋近于无穷大e^y/y,根据洛必达法则,显然为无穷大.

limx趋近于0sin2xln(1+x)/4x^3limx趋近于0sin2xln(1+x)/4x^3limx趋近于0sin2xln(1+x)/4x^3用等价无穷小替换(sinx~ln(x+1)~x)原

limx趋近于0(e^2x)-1/xlimx趋近于0(e^2x)-1/x limx趋近于0(e^2x)-1/x 

limx趋近于01-gen1+x^2/x^2limx趋近于01-gen1+x^2/x^2limx趋近于01-gen1+x^2/x^2原式=[1+√(1+x^2)][1-√(1+x^2)]/x^2[1+

limx趋近于0x^3-1/x-1limx趋近于0x^3-1/x-1limx趋近于0x^3-1/x-1原式=lim(x→0)(x-1)(x^2+x+1)/(x-1)=lim(x→0)(x^2+x+1)

limx趋近于0sin(1/x)/(1/x)limx趋近于0sin(1/x)/(1/x)limx趋近于0sin(1/x)/(1/x)limx→0[sin(1/x)]/(1/x)=limx*sin(1/

limx趋近于0y趋近于0sin(xy)/x求极限.limx趋近于0y趋近于0sin(xy)/x求极限.limx趋近于0y趋近于0sin(xy)/x求极限.

求极限limx趋近于0(arcsinx/x)^(1/x2)求极限limx趋近于0(arcsinx/x)^(1/x2)求极限limx趋近于0(arcsinx/x)^(1/x2)

limx趋近于0(tanx-sinx)/sin^3xlimx趋近于0(tanx-sinx)/sin^3xlimx趋近于0(tanx-sinx)/sin^3xlimx→0(tanx-sinx)/sin^

数学题limx趋近于0【1/x】tanx次方数学题limx趋近于0【1/x】tanx次方数学题limx趋近于0【1/x】tanx次方limx->0【1/x】tanx=lime^(tanxln1/x)=