2 Attachment(s)

Applying the combination rules

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

Attachment 27449

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 Attachment 27450. I am not sure what to do with this one so help on this would be great.

Re: Applying the combination rules

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

Re: Applying the combination rules

Quote:

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.

Re: Applying the combination rules

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

Re: Applying the combination rules

Quote:

Originally Posted by

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

Yep! :)