f(x)在[0,+∞]有義,任意有界區(qū)間上有界且[f(n+1)一f(n)]→A,證明f(n)/n→A
f(x)在[0,+∞]有義,任意有界區(qū)間上有界且[f(n+1)一f(n)]→A,證明f(n)/n→A
數(shù)學(xué)人氣:990 ℃時(shí)間:2020-04-20 02:33:18
優(yōu)質(zhì)解答
由極限定義,對(duì)£>0,存在K,當(dāng)n>K時(shí),有A-£最后幾步分子分母同除以n,不能得到f(n)/n這是一個(gè)結(jié)論的特例。沒(méi)有錯(cuò)的,我再解釋下::(n-K-1)(A-£)
我來(lái)回答
類似推薦
- f(x)定義在(a,+∞),f(x)在每一個(gè)有限區(qū)間﹙a,b﹚上有界,如何證明f(x)在(a,+∞)有界
- 設(shè)f(x)在區(qū)間(0,1)可導(dǎo),且導(dǎo)函數(shù)f`(x)有界,證明級(jí)數(shù)∑(n從2到無(wú)窮)[f(1/n)-f(1/(n+1))]絕對(duì)收斂
- 設(shè)函數(shù)f(x)在區(qū)間[a,+∞)上連續(xù),有l(wèi)im(x→+∞)f(x)存在且有限.證明:f(x)在[a,+∞)上有界
- 怎樣證明函數(shù)f(x)=1/x在開(kāi)區(qū)間(1,2)內(nèi)有界
- 若F(X)在任何有限區(qū)間有界,且limF(X)=A(A為常數(shù)),證明F(X)在(-∞,+∞)上有界.
- As we all know,numbers____in e-mail English to standnfor words.
- 在一根長(zhǎng)931米的注滿水的鑄鐵水管的一端敲一下,在另一端聽(tīng)到三次聲音,為什么?
- who do these books belong to?who does these book
- Singular Number,Plural Number,Regular Plural
- which team __yesterday's match,chinese or french?A was win Bwon C did won D winning
- 請(qǐng)教為什么在美國(guó)或中國(guó)登月的照片上,作為背景的太空沒(méi)有一顆星星?
- 在平面直角坐標(biāo)系中,一動(dòng)點(diǎn)P從原點(diǎn)O出發(fā)按下面規(guī)律進(jìn)行移動(dòng),