1.直接写出得数。+1/2+1/3=+3/4-1/8=+7/9+2/3=+1/5+3/4=+1-5?

如题所述

第1个回答  2023-03-04
+1/2+1/3 = 5/ 6
+3/4-1/8 = 5/ 8
+7/9+2/3 = 1 1/3 = 4/3
+1/5+3/4 = 23/20
+1-5 = -4

1.直接写出得数。+1\/2+1\/3=+3\/4-1\/8=+7\/9+2\/3=+1\/5+3\/4=+1-5?
+1\/2+1\/3 = 5\/ 6 +3\/4-1\/8 = 5\/ 8 +7\/9+2\/3 = 1 1\/3 = 4\/3 +1\/5+3\/4 = 23\/20 +1-5 = -4

1+1\/2+1\/3+2\/3+1\/4+2\/4+3\/4+1\/5+2\/5+3\/5+4\/5+...+1\/100+2\/100+...+...
则1+1\/2+1\/3+2\/3+1\/4+2\/4+3\/4+1\/5+2\/5+3\/5+4\/5+...+1\/100+2\/100+...+99\/100 =1+2475 =2476

1+1\/2+1\/3+1\/4+1\/5+1\/6+1\/7+1\/8+1\/9+1\/10=多少
= 1 + 1 + (1 - 1\/6) + (1\/2 + 1\/4 + 1\/5 + 1\/10)= 1 + 1 + 5\/6 + (1\/2 + 1\/4 + 2\/10)= 1 + 1 + 5\/6 + (2\/4 + 5\/20)= 1 + 1 + 5\/6 + (5\/10 + 1\/4)= 1 + 1 + 5\/6 + (2\/5)= 1 + 1 + 5\/6 + (120\/120)= 1 + 1 + 5\/...

1+1\/2+1\/3+2\/3+1\/4+2\/4+3\/4+1\/5+2\/5+3\/5+4\/5+...+1\/10+2\/10+...+9...
1\/2=1\/2 1\/3+2\/3=2\/2 1\/4+2\/4+3\/4=3\/2 1\/5+2\/5+3\/5+4\/5=4\/2 ...1\/10+2\/10+...+9\/10=9\/2 所以上式=1+1\/2+2\/2+3\/2+4\/2+5\/2+...+9\/2 =1+(1+2+3...+9)\/2 =1+9*8\/2 =1+36 =37

数列计算 1\/2+1\/3+1\/4+1\/5+1\/6+1\/7+1\/8+1\/9=?
当n→∞时 1+1\/2+1\/3+1\/4+ … +1\/n 这个级数是发散的。简单的说,结果为∞ --- 用高中知识也是可以证明的,如下:1\/2≥1\/2 1\/3+1\/4>1\/2 1\/5+1\/6+1\/7+1\/8>1\/2 ……1\/[2^(k-1)+1]+1\/[2^(k-1)+2]+…+1\/2^k>[2^(k-1)](1\/2^k)=1\/2...

1+1\/2+1\/3+1\/4+1\/5+1\/6+1\/7+1\/8+...1\/n等于多少?
ln(1+1\/x) = 1\/x - 1\/2x^2 + 1\/3x^3 - ...于是:1\/x = ln((x+1)\/x) + 1\/2x^2 - 1\/3x^3 + ...代入x=1,2,...,n,就给出:1\/1 = ln(2) + 1\/2 - 1\/3 + 1\/4 -1\/5 + ...1\/2 = ln(3\/2) + 1\/2*4 - 1\/3*8 + 1\/4*16 - ...1\/n = ...

1+1\/2+1\/3+1\/4+1\/5+...+1\/n的求和怎么算?
则1+1\/2+1\/3+1\/4+...+1\/2007+1\/2008=ln(2008)+C=8.1821(约)就不出具体数字的,如果n=100 那还可以求的 。然而这个n趋近于无穷 ,所以算不出的。它是实数,所以它不是有理数就是无理数,而上两层的人说“谈不上到底是无理数还是有理数”的说法显然是错误的。而根据种种依据可...

1+1\/2+1\/3+1\/4+1\/5+1\/6+1\/7+1\/8+1\/9+1\/10的结果大于哪个整数而小于哪个...
主要过程...1\/2=0.5,1\/3约为0.34,1\/4=0.25,1\/5=0.2,1\/6约为0.17,1\/7+1\/8+1\/9+1\/10约为0.48(麻烦了,自己算吧)1+0.5+0.34+0.25+0.2+0.17+0.48=2.94 又因为取得近似值所以小于3大于2

1.直接写出得数
1\/2 4\/3 1\/2 9\/20 5\/14 1\/4 1\/3 7 0 2 5\/9 王:13\/25,李:12\/25 11\/24 96 64

1+1\/2+1\/3+1\/4+1\/5+1\/6+.
1+1\/2+1\/3+1\/4+1\/5+1\/6+1\/7+1\/8+1\/9+1\/10 =1+(1\/2+1\/3+1\/6)+(1\/4+1\/5+1\/10)+1\/7+1\/8+1\/9 =1+1+11\/20+1\/8+1\/7+1\/9 =1+1+27\/40+1\/9+1\/7 =1+1+283\/360+1\/7 =1+1+2341\/2520 =1+4861\/2520 ≈2.92896 ...

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