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Homework Statement
For positive integers a,b and c. State a reasonable condition which guarantees the following limit exists:
http://img691.imageshack.us/img691/1923/limit.jpg [Broken]
Homework Equations
Maybe Binomial Theorem (see http://en.wikipedia.org/wiki/Binomial_theorem)
Mayve L'Hopitols (see http://en.wikipedia.org/wiki/L'Hôpital's_rule)
The Attempt at a Solution
I am really stuck with this, I have spent the whole day doing excercises and putting this one off,
In lectures we were told to consider the behaviour of the limit along lines through the x axis:
So Consider y=αx (α= alpha, not 'a' as in 'a' from the limit) for α an eliment of Real Numbers
I substituted this in and got:
http://img27.imageshack.us/img27/9015/limmo.jpg [Broken]
THAT Y IS SUPPOSED TO BE APLHA! SORRY!
Ive spoken to people who have said I need to apply the binomial expansion at some point in the question. I am not sure I am even supposed to substitute in y=αx.
I am supposed to end up with something like a+c > bAny help is massively appreciated
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