(1-1/2²)(1-1/3²)(1-1/4²)……*(1-1/2008²)
=(1-1/2)(1+1/2)(1-1/3)(1+1/3)·····(1-1/2008)(1+1/2008)
=1/2x3/2x2/3x4/3x3/4x5/3x···x2007/2008x2009/2008
=1/2x2009/2008
=2009/4016
(1-1/2²)(1-1/3²)(1-1/4²)……*(1-1/2008²)
(1-1/2²)(1-1/3²)(1-1/4²)……*(1-1/2008²)
數(shù)學(xué)人氣:375 ℃時(shí)間:2020-01-29 22:57:51
優(yōu)質(zhì)解答
我來回答
類似推薦
- 一道數(shù)學(xué)題:sim²1°+sim²2°+sim²3°+…+sim²89° 的結(jié)果多少,給出過程最好
- 3/x+2+1/x=4/x²+2x.
- 1/1²+1+1/2²+2+1/3²+3+.+1/2008²+2008=?
- 八年級(jí)數(shù)學(xué)題已知a-1/a=3求a²+1/a²的值為?
- 一道反比例函數(shù)的數(shù)學(xué)題y=(m+1)x^m²+m-3
- 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(zhǎng)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