Hi All,

I want to know whether there is an easy way to see how fast

goes to zero as a function of .

I already know (thanks Maple!) that for the function goes slower than , i.e.

whereas

.

(and for the limit is 1). But is there a clear and easy way to see this? I can't even do the limit by hand because it seems to require an infinite number of applications of L'hopitals rule...

Note: Obviously the case is easy since I can substitute and the thing goes to a constant .. but what about the cases when it really goes to zero? Obviously a=2 is special.

Thanks in advance.