Calculate limit of every sequence definite in N* by : First sequence : Second sequence :
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you know that so the final thing will happen there is a limit so it is converge the second sequence is less than 2 my solution is wrong so look at whole thread ...........
Last edited by Amer; Jun 5th 2009 at 04:43 AM.
Thank you not sure for the first question , more of detail on the second question
Last edited by dhiab; Jun 4th 2009 at 10:00 PM.
The first limit is the definition of e.
Originally Posted by Amer you know that so the final thing will happen there is a limit so it is converge That is completely wrong. This is a well known limit:
The second one can be proved by induction after you make an educated guess about its limit.
Thanks Plato can you explain how it is equal e
That is a common definition of "e". You can see a derivation, using a different definition here:http://www.physicsforums.com/showthread.php?t=176076
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