求函數(shù)的極限：lim(1^n+2^n+3^n+4^n)^1/n,當(dāng)n→∞時(shí)的極限.(不用夾逼準(zhǔn)則解)
求函數(shù)的極限：lim(1^n+2^n+3^n+4^n)^1/n,當(dāng)n→∞時(shí)的極限.(不用夾逼準(zhǔn)則解)
數(shù)學(xué)人氣：301 ℃時(shí)間：2020-06-14 19:42:11
優(yōu)質(zhì)解答
(1^n+2^n+3^n+4^n)^1/n=e^{ln[(1^n+2^n+3^n+4^n)^1/n]}=e^{(1/n)*ln(1^n+2^n+3^n+4^n)}lim(n->∞) (1/n)*ln(1^n+2^n+3^n+4^n) (用咯比達(dá)法則)=lim(n->∞) [(ln1*1^n+ln2*2^n+ln3*3^n+ln4*4^n)/(1^n+2^n+3^n+4^n)]=...
我來回答
類似推薦
- 求函數(shù)的極限：lim(1^n+2^n+3^n+4^n)^1/n,當(dāng)n→∞時(shí)的極限.(不用夾逼準(zhǔn)則解)
- 跪求函數(shù)的極限：lim(1^n+2^n+3^n+4^n)^1/n,當(dāng)n→∞時(shí)的極限.(不用夾逼準(zhǔn)則解)
- 求lim x→∞ (1+2∧n+3∧n)∧(1/n)的極限,請(qǐng)用夾逼法則,
- 利用極限夾逼準(zhǔn)則證明lim n→∞[1/(根號(hào)下n^2+1)+1/(根號(hào)下n^2+2).+1/(根號(hào)下n^2+n)]=1,
- 用夾逼準(zhǔn)則和重要極限兩種方法計(jì)算極限lim(2^n+3^n+4^n+5^n+6^n)^(1/n)n趨近于...
- 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