1.lim(x→0)[(1/x^2)-(1/xsinx)] 2.lim(x→0) [(1/e^x -1)-(1/x)] 3.lim(x→0) [(1/x-1)-(2/x^2 -1)]4.f'(x)=k,求 lim(x→0)[(f(x0+2x)-f(x0-x))/x] 5.f(x)={x^3sin(1/x),x不等于0,0,x=0 ,则f'(0)=?6.y=3^x,求y^(100)(0) 7.y=x^2arctanx,求dy,y'',8.y=(x
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1.lim(x→0)[(1/x^2)-(1/xsinx)] 2.lim(x→0) [(1/e^x -1)-(1/x)] 3.lim(x→0) [(1/x-1)-(2/x^2 -1)]
4.f'(x)=k,求 lim(x→0)[(f(x0+2x)-f(x0-x))/x] 5.f(x)={x^3sin(1/x),x不等于0,0,x=0 ,则f'(0)=?6.y=3^x,求y^(100)(0) 7.y=x^2arctanx,求dy,y'',8.y=(x+1)e^((x^2)+1),求dy,y''
题目太多了,没人做滴的.我来选1个做一下:
lim(x→0)[(1/x^2)-(1/xsinx)]
1/x^2-1/xsinx =(sinx-x)/x^2*sinx
分子分母求导数 (cosx-1)/(2xsinx+x^2*cosx)
还是0/0型,再一次分子分母求导数
-sinx/(2sinx+2xcosx+2xcosx-x^2*sinx)
再求导
-cosx/(2cosx+4cosx-4xsinx-2xsinx-x^2*cosx)
x→0
=-1/(2+4)
=-1/6
求下列极限:1.lim(x→2)(x+2/x-2) 2.lim(x→0)4x^3-2x^2+x^2-2x)3.lim(x→0)tanx-sinx/x^34.lim(x→π)sin3x/x-π5.lim(x→无穷大量)(1-1/2x)^x+2知道答案,求过程!谢谢
lim 2(1+x)^1/x x→0
求下列的极限1.lim(x→∞)(1-3/x)'x2.lim(x→1)2x'2-x-1/x'2-13.lim(x→0)1-cosx/x'24.lim(x→∞)x'3/e'x5.lim(x→0)sin4x/x
1.lim x→0 3x/(sinx-x)2.lim x→0 (1-cosmx)/x^23.lim x→0 sin4x/[(√x+2)-√2]4.lim h →0 [sin(x+h)-sin(x-h)]/h
lim(x→0)e^x-x-1/x^2
lim(x→0)ln(x^2+1)等于
1.计算lim(1/x2-cot2x) X→0 2 lim(1-x)tanπx/2x→1
lim(1-x)^(2/x) x->0
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
1.lim sinX^3/(sinX)^3x→02.lim tan2X/sin5Xx→03.lim(1/1+x)^(1/2x+1)x→0
lim(x→0)=(1/x^2-cot^2x)lim(x→∞)=[(2+x)e^(1/x)-x]
lim(x→0)(1-2x)^1/x 极限?
lim(x→0) 1-cosx/x+x
lim x→0 (1+x)^3/x
lim (x→0)x sin 1/x=
极限lim(x→0)(1-2/x)^x
lim(x→0) (e^(-1/x^2))/x^100
lim(x→0)(2-e^x)^(1/x)