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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Find the limit
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computer001 (1847)

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isnt tht obvious??
i mean when n-> inf no diff bet n and n+1..
but threr is a prob...wat if both r infinity??
then v have inf-inf which is indeterminate :\

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spideyunlimited (3493)

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Is the answer -1 or 1?
Almost done, but it's troublesome

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layman (148)

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Answer is 1/e.



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konichiwa2x (2327)

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For the 4th question,
 
edited (made a horrible mistake)
 
For the 5th one,
 
By Stirling's formula is approximately equal to , so it looks like  should be approximately . But this looks like a very tricky thing to establish with a rigorous proof..
 
What is the source of the problem?

Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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sandeepramesh (1247)

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nice one :) i didnt know sterling's apprx though ive seen it being used before. There must be another way out though
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konichiwa2x (2327)

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its pretty simple. it states that so that is approximately n/e.

Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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sandeepramesh (1247)

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yeah this is where i had seen it :)
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computer001 (1847)

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rohit i thot rok said 4th 1 is not 0???
thts wat even i got n u guessed

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sandeepramesh (1247)

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yes its 1/e as rock said n koni proved :)
 
n even i had the same method as u had man but that apprx isnt clearly valid as i though tbefore
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computer001 (1847)

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read proprerly Koni says 1/e for 5th question
and 0 for 4th q...
i said 0 for 4th q only...but rok said thts wrong...

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sandeepramesh (1247)

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think he's mixed up the question numbers thats all bcos what he said as the 5th in reality seems to be the 4th :)
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anandghegde (1707)

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from where do you people get the formula for sterling's approximation and all that??

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sandeepramesh (1247)

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i have already shown one plausible source Razz Well neway, the rest can be answered by koni himself RazzRazz
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konichiwa2x (2327)

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i happened to come across this limit somewhere (maybe in one of my parent's books)  . My proffessor told me about sterling's approximation and used it to prove the limit.
 
 

Guide to latex:
http://www.goiit.com/posts/list/community-shelf-a-guide-to-latex-48056.htm

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konichiwa2x (2327)

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