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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Find the limit
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[Post New]29 Mar 2008 18:40:31 IST
    Subject: Re:Find the limit
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konichiwa2x (2342)

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hey guys i checked with my sir, it seems the answer is indeed 1.
 
  It is easy to see that this limit is equal to 1.
Now let  

 
 
=>  
 
Also, by AM-GM:

So we have proved:
Hence, since , we'll get,

by sandwich theorem, that
Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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[Post New]1 Apr 2008 11:09:02 IST
    Subject: Re:Find the limit
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layman (148)

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200% correct koni. U r really good.
 
By the way sandeep I am right only the 4th question is 1/e.


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