1-1⼀2+1⼀2-1⼀3+1⼀3-1⼀4+1⼀4-1⼀5+...+1⼀2011-1⼀2012

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2024-12-28 06:57:34
推荐回答(4个)
回答1:

1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/2011-1/2012
=1+(-1/2+1/2-1/3+1/3-1/4+1/4-1/5+...+1/2011)-2012
=1+((-1/2+1/2)+(-1/3+1/3)+(-1/4+1/4)+(-1/5+...+1/2011))-2012
=1+(0)-1/2012
=2011/2012

回答2:

=2011/2012

回答3:

1-1/2012=2011/2012

回答4:

1-1/2012=1/2011