求limx→0 (e^x-1)sinx/1-cosx
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/20 11:21:51
x1
0dL%c.RPq(h-vy'it
-K]韷&xҌ#*#@0j-0E;Sy A@&ݰ WRҨ8#;QZA } #hT]=G_RNaŰF21@fE8a8F+HDƑ>-
求limx→0 (e^x-1)sinx/1-cosx
求limx→0 (e^x-1)sinx/1-cosx
求limx→0 (e^x-1)sinx/1-cosx
limx→0 (e^x-1)sinx/1-cosx
=limx→0[ (e^x))sinx+ (e^x-1)cosx]/sinx
=limx->0e^x+limx-0(e^x-1)cosx]/sinx
=1+limx->0[(e^x)cosx]-(e^x-1)sinx]/cosx
=1+1-0
=2
答:
lim(x→0) (e^x-1)sinx / (1-cosx)
=lim(x→0) xsinx / [2sin ^2 (x/2)]
=lim(x→0) (x^2) / [2*(x/2)^2]
=2
求limx→0 (e^x-1)sinx/1-cosx
limx→0 (e^x-1)x^2/x-sinx
求极限1.limx→-1(x^3+1)/sin(x+1); 2.limx→0(e^x-e^-x)/(sinx); 3.limx→+∞(ln(1+1/x))/(arccotx);4.limx→∞(tanx-sinx)/(1-cos2x);
用洛必达法则求极限求极限limx→0 sin3x/x.limx→ +∞ ln(e^x+1) /e^x.limx→+∞ x-sinx/x+sinx.用洛必达法则求
limx→0 e^sinx(x-sinx)/(x-tanx)
limx→0+(x^sinx)求极限
limx~0 sinx-x/(x-e^x+1)x
limx→0(1/sinx-1/x)求极限
limx→0(1+3x)^(1/sinx) 求解答.
limx趋近于0[3e^(x/x+1)-1]^(sinx/x)求极限
limx趋于0 ((1+x)^(1/x)-e)/sinx 极限
求极限limx->0(sinx/x)^(1/x^2)给的是 e^(-1/6),
①limx→0(x+e^3x)^1/x②limx→0(e^x-e^sinx)/(sinx)^3③limx→0(e^-1/x^2)/x^100
limx→0(e^x+e-x-2)/(sinx-x),我初学高数,求高人指点
极限limx→0(e^x+sinx-1)/ln(1+x)=
limx→0 (tanx-sinx)/[(2+x^2)^(1/2)]*{[e^(x^3)]-1}=?
limx趋向于0(e^x-e^-x-2x)/(x-sinx).用洛必达法则求极限
求limx→0×x-sinx/x^3