CBSE Class 11-science Answered
pls answer.
Asked by | 04 May, 2009, 08:33: AM
Expert Answer
Let x = 1/2 + 1/3 + .......... + 1/2008,
and y = 1/2 + 1/3 + .......+ 1/2007,
then the given expression is written as,
(x)(1+y) - (1+x)(y)
= x + xy - y - xy
= x - y
= (1/2 + 1/3 + .......... + 1/2008) - (1/2 + 1/3 + .......+ 1/2007)
= 1/2008
So the given expression simplifies to 1/2008.
Regards,
Team,
TopperLearning.
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