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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Sum to infinity
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tuhinr_007 (0)

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The series ...................... can be summed till infinity  (True /False).Please Explain

    
Avinash_Bhat (625)

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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 

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spideyunlimited (3530)

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True.



Answered here :

http://www.goiit.com/posts/list/differenciation-limits-ques-urgent-70507.htm


 


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