# Thread: Applying the combination rules

1. ## Applying the combination rules

I'm trying to determine whether the below sequence converges.

I see the dominant term is n^5, so then I divide numerator and denominator by this.

So the next stage is to apply the combination rules (in my text book).

I seem to be stuck at the first one which is . I am not sure what to do with this one so help on this would be great.

2. ## Re: Applying the combination rules

Show that for all n sufficiently large the denominator grows faster than the numerator

3. ## Re: Applying the combination rules

Originally Posted by Shakarri
Show that for all n sufficiently large the denominator grows faster than the numerator
Sorry but I don't understand how to do that.

4. ## Re: Applying the combination rules

I think I may of got the initial part wrong and the dominant term should be 5^n. :s

5. ## Re: Applying the combination rules

Originally Posted by jennybee
I think I may of got the initial part wrong and the dominant term should be 5^n. :s
Yep!