lim趋向于0xsinx

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1-√cosx/xsinx 求Lim X趋向于0

1-√cosx/xsinx求LimX趋向于0lim(x->0)1-√cosx/xsinx=lim(x->0)1-√cosx/x²=lim(x->0)(1-√cosx)(1+√cosx)/(1+√cosx)x²=lim(x

lim(x趋向于0)(cosx)^[1/(xsinx)]=

lim(x趋向于0)(cosx)^[1/(xsinx)]=lim(x趋向于0)(cosx)^[1/(xsinx)]=lim(x趋向于0)[(1+cosx-1)^(1/(cosx-1))]^[(cosx-1)/(xsinx)]=lim(x趋向

x趋向于0,求极限lim((tankx)/(xsinx))

x趋向于0,求极限lim((tankx)/(xsinx))k=00k不等于0化简,然后等价无穷小发现趋向于无穷无穷大?

lim(x趋向0) 1-cos2x/xsinx

lim(x趋向0)1-cos2x/xsinxlim2sinx/x=2

lim x趋向于0 根号1+xsinx -根号cosx/xtanx答案写4分之3

limx趋向于0根号1+xsinx-根号cosx/xtanx答案写4分之3楼上,根号cosx不能直接等价于1的根号1+xsinx-根号cosx=(根号1+xsinx-1)-(根号cosx-1)0.5xsinx-0.5*(-0.5)x^23x

求极限lim(x趋向于0) (x-tanx)/xsinx^2

求极限lim(x趋向于0)(x-tanx)/xsinx^2lim(x-tanx)/xsinx^2=lim(x-tanx)/(x*x^2*sinx^2/x^2)等价无穷小量:=lim(x-tanx)/(x*x^2)=lim(1/x^2-sin

求极限lim[e^xsinx-x(1+x)]/x^3 其中X趋向于0

求极限lim[e^xsinx-x(1+x)]/x^3其中X趋向于0连续使用罗比达法则:原式=lim[e^x(sinx+cosx)-1-2x]/(3x²)=lim(2e^xcosx-2)/6x=lime^x(cosx-sinx)/3

lim(xsinx)/x^2-4,x趋向于无穷

lim(xsinx)/x^2-4,x趋向于无穷因为:-x/(x^2-4)≤xsinx/(x^2-4)≤x/(x^2-4)而且很明显,lim-x/(x^2-4)=0limx/(x^2-4)=0故,根据迫敛性limxsinx/(x^2-4)=0

lim(1-e^x-x)/(2sinx+xsinx)=0.5lim(1-e^x-x)/xx趋向于0是

lim(1-e^x-x)/(2sinx+xsinx)=0.5lim(1-e^x-x)/xx趋向于0是怎么得出来的lim(x->0)[(1-e^x-x)/(2sinx+xsinx)]=lim(x->0)[(1-e^x-x)/((2+x)sin

lim(e^x-cosx)/xsinx x趋向0

lim(e^x-cosx)/xsinxx趋向0lim(e^x-cosx)/xsinx利用等价无穷小:sinx~x=lim(e^x-cosx)/x^2极限为0/0型,根据L'Hospital法则:=lim(e^x-cosx)'/2x=lim(

lim(x趋向0)(1-cos2x)/xsinx怎么解?

lim(x趋向0)(1-cos2x)/xsinx怎么解?lim(x趋向0)(1-cos2x)/xsinx=lim(x趋向0)[(1-1+2Sin^2(x)]/xsinx=lim(x趋向0)2sin^2x/xsinx=lim(x趋向0)2si

lim e-e^cosx除以xsinx x趋向0

lime-e^cosx除以xsinxx趋向0原式=lim{x->0}e[1-e^(cosx-1)]/(xsinx)=lim{x->0}e[-(cosx-1)]/x^2利用e^u-1~u(u->0),sinx~x(x->0)=e*lim{x-

求极限x趋向于0 (1-cos2x)/xsinx

求极限x趋向于0(1-cos2x)/xsinxlim(x→0)(1-cos2x)/xsinx=lim(x→0)(x^2/2)/x^2=1/2=lim{1-[1-2(sinx)^2]}/xsinx=lim2sinx/x=2用等价无穷小做:当x

limx趋向于0,(1-cosx)/xsinx

limx趋向于0,(1-cosx)/xsinx

limx(x趋向于0)xsinx=?

limx(x趋向于0)xsinx=?limx(x趋向于0)xsinx=0吧附送limx(x趋向于0)x/sinx=10

x趋向于0时,(1-cos4x)/xsinx的极限

x趋向于0时,(1-cos4x)/xsinx的极限x->0,1-cos4x=2sin²2x8x²xsinxx²原式=8

求xsinx/1-cos3x x趋向于0的极限

求xsinx/1-cos3xx趋向于0的极限x→0lim(xsinx)/(1-cos3x)此极限为0/0型,根据L'Hospital法则=lim(xsinx)'/(1-cos3x)'=lim(sinx+xcosx)/(3sin3x)此极限为

limx趋向于0,ln(1+2x)/xsinx

limx趋向于0,ln(1+2x)/xsinx利用等价代换:lim(x→0)ln(1+2x)/xsinx=lim(x→0)(2x)/(x·x)=lim(x→0)2/x=∞没有极限,分子等价于2x,分母等价于x^2,原表达式等价于2/x,没有

1.lim(sinx)^2/√(1+xsinx)-√cosx x趋向于02. lim(cos√x)^

1.lim(sinx)^2/√(1+xsinx)-√cosxx趋向于02.lim(cos√x)^cotxx趋向于03.lim(1-x)tanπx/2x趋向于0+求各位大神帮个忙1.lim(sinx)^2/√{(1+xsinx)-√cosx}

求lim(x→0)〔1-cos2x+tan^2 X〕/xsinx当x趋向于0时,求1减cos2x加t

求lim(x→0)〔1-cos2x+tan^2X〕/xsinx当x趋向于0时,求1减cos2x加tanx的平方再除以x倍的sinx的极限值lim(x->0)[1-cos2x+(tanx)^2]/(xsinx)(0/0)=lim(x->0)[