x→∞ lim(3x+sinx)/(2x-sinx)=
来源:学生作业帮助网 编辑:作业帮 时间:2024/11/29 13:03:17
x)x6Q<\
̼
M}
]0&H;Lz7~[
];jM
cR}b](x';vDXlN=/u+Ϧ/xr
@!g
Ov/}w2gӷ@ӵ3@V q~qAb ys
x→∞ lim(3x+sinx)/(2x-sinx)=
x→∞ lim(3x+sinx)/(2x-sinx)=
x→∞ lim(3x+sinx)/(2x-sinx)=
原式=lim(x->∞) (3+sinx/x)/(2-sinx/x)
因为sinx是有界量,1/x为无穷小量
所以当x->∞时,sinx/x->0
所以原式=3/2
lim(x→∞)(3x+sinx)/(2x-sinx)的极限
x→∞ lim(3x+sinx)/(2x-sinx)=
lim(x→∞)[(x+sinx)/(x-sinx)]=?
lim[x→∞]【(x+1)sinx】/(2x^3-3x+2)
1.lim x->∞ (2x/x^2+1)*cosx 2..lim x->∞{ [(x^2-x)arctanx]/x^3-x-5}3..lim x->0 (e^x-e^-x-2x)/(x-sinx) 4..lim x->0 (sinx-x)/(x^3) 5..lim x->0 (x^2*tanx)/(x-tanx) 6..lim x->0 (1+3/x)^2x 7..lim x->0 (1+2x)^(3/sinx) 8.lim x->∞ (x/1+x)^(x-3) 9..li
lim (x→0)x-sinx/x
lim x→0 sin2x/sin5xlim x→0 (1-cos2x)/x²lim x→0 in(1-x/2)^1/xlim x→∞ (1+2/x)^2x+1lim x→0 sin2x/sin5xlim x→0 (1-cos2x)/x²lim x→0 in(1-x/2)^1/xlim x→∞ (1+2/x)^2x+1lim x→3 (x-3)cos1/(x-3)lim x→0 (e^sinx-e^x)/(sinx-x)
lim (x->0) 3x/(sinx-x)
求lim(x趋于∞)(2x+sinx)/(3x-sinx)
求下列极限,lim(x+2sinx)/(x+3sinx),x→0烦请给出具体步骤,
1.lim(2x-sinx)/(2x+sinx) (x→0)2.lim(sinsinx)/x (x→0)3.lim 4/y (y→∞)
计算极限① lim(x→+∞) 1 / [ (√x^2+3x) - x ],② lim(x→1) (sinx-sin1)/(x-1)
lim(x→∞)(x-sinx)/x=?
x→∞ lim(cosx+x)/(sinx-x) 求极限?
x→∞ lim (x+sinx)/x=?rt
x→∞ lim (x+sinx)/x=?rt
lim√x(sinx+cosx)/x+1 x→+∞
lim(x→∞) (xsin(1/x)+1/x(sinx))