Hi, I know how to show the following sequence goes to its limit, but i need to do it using the definition, of which i am having trouble, i've started how i should though i think.

prove

Let be given

Let be an integer greater than ...(answer goes here)...

Then for all we have

and that is where i get stuck.

I'm not sure if this definition method of proof is well known so if you would like an example of a completed question just ask. Thanks.