limx+0x-sinx分之tanx-x

汤熊谭4078求limx - >0 x - sinx/x的三次方 -
潘晶狗19121993677 ______[答案] lim(x->0)(x-sin x)/x^3=lim(x->0)(1-cos x)/3x^2=lim(x->0)(x^2/2)/3x^2=1/6

汤熊谭4078limx趋近于0(x - sinx)/x十sinx -
潘晶狗19121993677 ______ lim(x->0) (x-sinx)/(x+sinx)=lim(x->0) (1-cosx)/(1+cosx)=(1-1)/(1+1)=0

汤熊谭4078limx趋近于0x - sinx/x+sin3x -
潘晶狗19121993677 ______ 解:(x→ 0)lim(x-sinx/x+sin3x) =(x→0)lim(x+sin3x)-(x→0)lim(sinx/x) =(0+0)-1=-1

汤熊谭4078当X趋近于0时,x - sinx与ax^3是等价无穷小量,则a= -
潘晶狗19121993677 ______[答案] limx->0 (x-sinx)/ax^3 是0/0的形式 =limx->0(1-cosx)/3ax^2 还是0/0的形式 =limx->0sinx/6ax =1/6a limx->0 sinx/x=1/6a=1 a=1/6

汤熊谭4078求极限limx→0 (tanx - sinx)/x - sinx -
潘晶狗19121993677 ______ 分母提出一个tanx,然后把tanx和1-cosx用等价无穷小替换,之后用一次洛必达法则,分母变成 1-cosx,再用等价无穷小替换,最后可得极限为3

汤熊谭4078limx趋向0 (x - sinx)/(x的平方(e的x次方 - 1)) -
潘晶狗19121993677 ______[答案] lim(x→0) (x-sinx)/(x^2(e^x-1)) =lim(x→0) (x-sinx)/x^3 =lim(x→0) (1-cosx)/(3x^2) =lim(x→0) (1/2x^2)/(3x^2) =1/6

汤熊谭4078limx→0+ x^sinx的极限是什么 -
潘晶狗19121993677 ______ lim(x→0+)x^sinx=lim(x→0+)e^(sinxlnx)=e^lim(x→0+)sinxlnx=e^lim(x→0+)xlnx=1 有疑问请追问,满意请采纳~\(≧▽≦)/~

汤熊谭4078limx - >0,ln(1 - sinx)/x的值是? -
潘晶狗19121993677 ______ 当x趋于0时,那么(1-sin x)趋于1,ln(1-sinx)趋于0,所以ln(1-sin x)/x 上下求导,即根据罗必达法则,lim ln(1-sin x)/ x = lim (-cos x /(1-sin x) )=-1.希望对你有帮助.

汤熊谭4078limx趋向于0时x - sinx/x+tanx -
潘晶狗19121993677 ______[答案] lim【x→0】(x-sinx)/(x+tanx) =lim【x→0】(1-cosx)/(1+sec²x) =(1-cos0)/(1+sec²0) =(1-1)/(1+1) =0 答案:0

汤熊谭4078limx - >0(x+sinx)/(x - sinx)等于多少 -
潘晶狗19121993677 ______ limx->0(x+sinx)/(x-sinx)=limx->0 (1+cosx)/(1-cosx) =limx->0-sinx/sinx=-1