Question : Find the Limite My Work ::::::::::::::::::::::::::::::::::::::::::: .....................Is this step correct
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As, you usually say to me, I have no idea what you are doing. The idea here is to take the logarithm and then use L'Hopital's rule.
Originally Posted by zorro Question : Find the Limite My Work ::::::::::::::::::::::::::::::::::::::::::: .....................Is this step correct Two main methods: Method one: and it is quite easy to validate that and since it follows that our limit is equal to so then the actual limit is clearly . Alternatively, . And since the limit follows by the squeeze theorem.
I just let then take the log of y, pass through the limit and apply L'Hopital rule's.
Originally Posted by matheagle I just let then take the log of y, pass through the limit and apply L'Hopital rule's. That is of course equally valid!
taking log we get Using l'Hospital rule = = .............what should i do know???
Originally Posted by Drexel28 A nice method !! How could you think of this ... You did the limit for , now if , let me finish it
Here is another method to reach the limit but starting from which is the result from Drexel28 . since sub we can see that it equals to ( )
Originally Posted by simplependulum A nice method !! How could you think of this ... You did the limit for , now if , let me finish it Another really easy thing one can prove is that let be such that is an arbitrary polynomial and then and since we can see that from where it clearly follows that . A similar proof can be done wit h the squeeze theorem. This can be GREATLY generalized.
Originally Posted by simplependulum A nice method !! How could you think of this ... You did the limit for , now if , let me finish it I am no genuis but should it be this u have taken out side instead of
Originally Posted by zorro I am no genuis but should it be this u have taken out side instead of Yes, you are right. It was probably a typo.
Originally Posted by zorro taking log we get Using l'Hospital rule = = .............what should i do know??? Now just set x= 0!
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