已知 lim(x->+∞)f'(x)=0 證明：lim(x->+∞)f(x)=常數(shù)
已知 lim(x->+∞)f'(x)=0 證明：lim(x->+∞)f(x)=常數(shù)
數(shù)學(xué)人氣：797 ℃時(shí)間：2020-09-24 05:56:56
優(yōu)質(zhì)解答
你肯定抄錯(cuò)題了,條件不夠.比如f(x)=根號(hào)(x),則f'(x)趨于0,但f(x)沒有極限.
我來回答
類似推薦
- 證明:若x→＋∞及x→－∞時(shí),函數(shù)f(x)的極限都存在且都等于A,則lim x→∞f（x）=A
- 證明：設(shè)f(x)在x=0連續(xù),且lim(x→0) (f(x)/x)=1,則必有f'(0)=1
- 證明：f(0)=lim(x->0)[f(x)+f(-x)]/2
- 當(dāng)x→a時(shí),lim f(x) =＋∞,當(dāng)x→＋∞,lim g(x)=A,證明:當(dāng)x→a時(shí),lim g(f(x))=A
- 證明lim[f（x）+g（x）]=limf（x）+limg（x）
- 函數(shù)f(x)=sinx-cosx^2的最小值是?
- 英語翻譯
- I took my grandpa to the hospital this morning,_____ I missed the first class.
- So crazy
- 方差是各個(gè)數(shù)據(jù)與平均數(shù)之差的平方的平均數(shù)
- 函數(shù)y=f(x)與它反函數(shù)y=f^-1(x)怎么讀?
- These are photos of my families.Look at them 改錯(cuò)
猜你喜歡
- 1平面與平面重合,是否屬于平行一類?那重合的兩直線,也屬于平行一類的嗎?
- 2非洲每年因饑餓死亡的人數(shù)及現(xiàn)在饑餓人口數(shù)量拜托各位了 3Q
- 3decide to do sth.還=什么
- 4(7/8)o you think of london?B:5.____london is one of the liveliest cities
- 5啤酒可以托運(yùn)嗎
- 6邊長為2√6的等邊三角形的中心到一邊的距離為?
- 7please give your hand to help me
- 8已知2的X次方等于3的Y次方等于6的Z次方不等等于1,證明X分之一加Y分之一等于Z分之一.
- 9幫我做做?
- 10機(jī)械分析天平TG628A的使用說明書
- 11in winter ,we wear warm coats to protect our bodies_.
- 12( )was most importance to her ,she told me,was her family it this what as