lim{[(5x-4)^(1/2)-x^(1/2)]/(x-1)},在x→1时的值?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/24 01:59:59
lim{[(5x-4)^(1/2)-x^(1/2)]/(x-1)},在x→1时的值?lim{[(5x-4)^(1/2)-x^(1/2)]/(x-1)},在x→1时的值?lim{[(5x-4)^(1/2

lim{[(5x-4)^(1/2)-x^(1/2)]/(x-1)},在x→1时的值?
lim{[(5x-4)^(1/2)-x^(1/2)]/(x-1)},在x→1时的值?

lim{[(5x-4)^(1/2)-x^(1/2)]/(x-1)},在x→1时的值?
(5x-4)^(1/2)-x^(1/2)
=[(5x-4)-x]/[(5x-4)^(1/2)+x^(1/2)]
=4(x-1)/[(5x-4)^(1/2)+x^(1/2)]
lim{[(5x-4)^(1/2)-x^(1/2)]/(x-1)}
=lim 4(x-1)/[(5x-4)^(1/2)+x^(1/2)]/(x-1)
=lim 4/[(5x-4)^(1/2)+x^(1/2)]
=4/(1+1)
=2

lim(1-(5/x))^x-2 数学难题,求指教~~极限到底是什么玩意我还不懂.1.lim(x^2-2x+6)2.lim(x^2-4)/(x-2)3.lim(x^2-6x=8)/(x^-5x=4)4.lim[1/(1-x)-1/(1-x^3)5.lim(sin2x)/x^26.lim(sin5x)/x7.lim(tan3x)/(sin7x)8.lim[(1+x)/x]^2x例如这道例题~lim[(1/3)x+1] 帮忙`````````一些求极限的数学题一.求极限1.lim 3x^+2x+1x→12.lim x^+3x+2/x的三次方+4x^+5x→03.lim x^-1/x-1x→14.lim x^-3x+2/1-x^x→15.lim sin2x/5xx→06.lim sin3x/tan2xx→07.lim (1+x)的x分之2次方x→08.lim (1+2/n)的n次 求极限 x趋近于0 lim[(4^x-5^x)/2]^1/x求极限 x趋近于0 lim[(4^x-5^x)/2]^1/x lim (x->1) (x^2-6x+8)/(x^2-5x+4) 怎么算? 烦人的数学微积分1、lim(x→0)Sin3x/Sin2x2、lim(x→0)x/3*Sin3x3、lim(x→0)[Xsin(3/x)+(tanx/2x)]4、lim(x→3)Sin(x-3)/(X^2-X-6)5、lim(x→∞)[1+(1/2x)^x6、lim(x→∞)(x+3/x)^x7、lim(x→0)(1-x/2)^1/x+118、求下列函数的间断 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)lim(x→∞) [(x-1)/(x+1)]^2x 为什么 lim(x->∞) {[(-2)/(x+1)]*2x} = -4 lim(x->2) {(3x+16)^1/2-4}/x 求下列各极限?lim x→1[x+3/x的平方-1] lim x→1 [x的平方-求下列各极限?lim x→1[x+3/x的平方-1] lim x→1 [x的平方-1/x的平方-4x+3] lim x→-(π/4) [cos2x/sinx+cosx]lim x→∞ [x的4次方-6x-2/x的5次方-4x的立方+3] lim x→∞(2x+1)/(3x-4) lim(x→0)(a^2x-1)/4x lim(1-x)^(2/x) x->0 lim(x^2-1)/(x^2-5x+4) x→1 lim(x^2-1)/(x^2-5x+4) x趋向于2 求极限 lim(2x^3+3x^2+5)/(7x^3+4x^2-1) lim→1 (X^2-3X+2)/(X^2+4X-5) 求极限 求 lim(x→无限) 4x^3-1/5x^3-2x+5