Hi guys. I've got what *should* be a simple problem, but it's giving me trouble. Here it is:

It is easy to deduce the following results:Let be a continuous solution to the equation

,

where and for , with continuous.

and let .

Show that if for arbitrarily large then as .

(1)

(2)

(3)

(4) is strictly decreasing.

Maybe these are useful, maybe not.

Any help would be much appreciated. Thanks!