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likearollings

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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 > b

Any help is massively appreciated

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