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January 4th, 2012, 06:47 PM   #1
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limit



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January 4th, 2012, 07:19 PM   #2
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Re: limit

1.



After an application of L'Hopital's rule the limit is found to be 0.
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January 4th, 2012, 09:06 PM   #3
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Re: limit

2.)

We see that the numerator diverges, so we have the indeterminate form ?/?, so applying L'H˘pitals rule (using differencing rather than differentiation, since n is discrete, rather than continuous):







We have the indeterminate form ?/?, so applying L'H˘pitals rule:



Converting from logarithmic to exponential form:

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January 4th, 2012, 11:36 PM   #4
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Re: limit

Thanks Markfl and Greg
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January 4th, 2012, 11:48 PM   #5
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Re: limit

Would you humor me and demonstrate that what Greg posted is correct? Greg knows it's correct and I know it's correct...but can you demonstrate how to arrive at the given conclusion? I'm not trying to be contrary, rather I want to make sure you understand how it works...for your benefit.
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January 5th, 2012, 08:20 AM   #6
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Re: limit

actually Markfl I have got it



Which is

Using The formula

When then

and Markfl your explanation is crystal clear.

so I have got your explanation.

thanking you
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January 5th, 2012, 04:35 PM   #7
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Re: limit

I guess this is a long shot but consider this:

Let's put the sum this way:



Now for



And for



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