limf(x0-h)=f(x0 h)=f为什么?
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![limf(x0-h)=f(x0 h)=f为什么?](/uploads/image/f/666640-64-0.jpg?t=limf%28x0-h%29%3Df%28x0+h%29%3Df%E4%B8%BA%E4%BB%80%E4%B9%88%3F)
lim(h→0)[f(x0-h/2)-f(x0)]/h=lim(h→0)[f(x0-h/2)-f(x0)]/(-h/2)*(-1/2)=f'(x0)*(-1/2)=2*(-1/2)=-1
lim(h>0)[f(x0)-f(x0-2h)]/h=lim(h>0)2*[f(x0)-f(x0-2h)]/2h=2*lim(h>0)[f(x0)-f(x0-2h)]/2h=2f'(x0)
用二次洛必达法则:lim(h→0)f(x0+h)+f(x0-h)-2f(x0)/h^2=lim(h→0)f'(x0+h)-f'(x0-h)/2h=lim(h→0)f''(x0+h)+f''(x0-h)
lim[f(x0)-f(x0-2h)]/h=lim[f(x0)-f(x0-h)+f(x0-h)-f(x0-2h)]/h=lim[f(x0)-f(x0-h)]/h+lim[f(x0-h)-f(x0-h-
你开始就说“连续函数”,既然是连续函数,那么在每一点上都是连续的(如果是闭区间则在端点处单侧连续).是连续的就有结论:x→x0,limf(x)一定会=f(x0),连续函数f(x)在x=x0处必须同时具
(1)=limh→0[f(x0+2h)-f(x0)]/2h*2=6(2)=limh→0[f(x0)-f(x0-h)]/-h*-1=-3
limf(x0+2h)-f(x0)/h=lim[f(x0+2h)-f(x0)/2h]*2=2limf(x0+2h)-f(x0)/2h=2f′(x0)=6
∵函数f(x)在x=x0处可导,∴可得f′(x0)=limh→0f(x0+h)−f(x0)h,∴此极限仅与x0有关而与h无关,故选B.
lim(h->0){[f(x0+h)-f(x0-h)]/h}=lim(h->0){[f(x0+h)-f(x0)+f(x0)-f(x0-h)]/h}=lim(h->0){[f(x0+h)-f(x0)]/
(f(x0+h)-f(x0-h))/2h=(f(x0+h)-f(x0)+f(x0)-f(x0-h))/2h=1/2*(((fx0+h)-f(x0))/h+((fx0-h)-f(x0))/(-h))=1
新年好!HappyChineseNewYear!1、本题是考查对导数的概念理解题;2、根据导数的定义,第一题可以分成两部分;3、导数的定义式的本质是无穷小比无穷小型不定式, &n
很明显f(x0)=0.因为如果f(x0)不等于0,那么此式分母为0,分子是一个不为0的数,那么极限应该是无穷大.而题中极限为4,所以式中分子即limf(x)也应该为0,这样就是一个无穷小比无穷小,极限
lim(f(x0-2h)-f(x0))/h=lim(f(x0-2h)-f(x0))/(-2h)*-2=-2f'(x0)=-2×(-1)=2所以原式=1/2
因为lim(h→0)h/[f(x0-2h)-f(x0)]=1/4所以lim(h→0)2h/[f(x0-2h)-f(x0)]=1/2得lim(h→0)[f(x0-2h)-f(x0)]/2h=2所以lim
很高兴回答你问题,不懂再问!
∵f′(x0)=-3,则limh→0f(x0+h)−f(x0−3h)h=limh→0[4•f(x0+4m)−f(x0)4m]=4limm→0(f(x0+4m)−f(x0)4m)=4f′(x0)=4×(
f'(x0)=lim(x->x0)[f(x)-f(x0)]/(x-x0)令h=x0-x=lim(h->0)[f(x)-f(x+h)]/(-h)=lim(h->0)[f(x+h)-f(x)]/h再问:从
若f′(x0)=-3则lim[f(x0+h)-f(x0-3h)]/h=lim[f(x0+h)-f(x0)+f(x0)-f(x0-3h)]/h=lim[f(x0+h)-f(x0)]/h+lim[f(x0