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The series ...................... can be summed till infinity (True /False).Please Explain
Blazing goIITian
True.
The series can be written as: ( 1 - 1/2 ) + ( 1/2 - 1/3 ) + ( 1/3 - 1/4 ) + .................. + ( 1/n - 1/(n + 1) )
= 1 - 1/( n + 1 )
When 'n' tends to infinity, the sum of the series upto infinity is equal to : 1
Moderator
True.Answered here :http://www.goiit.com/posts/list/differenciation-limits-ques-urgent-70507.htm