# Applying the combination rules

• Mar 9th 2013, 08:37 AM
jennybee
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.
• Mar 9th 2013, 09:08 AM
Shakarri
Re: Applying the combination rules
Show that for all n sufficiently large the denominator grows faster than the numerator
• Mar 9th 2013, 09:12 AM
jennybee
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.
• Mar 9th 2013, 09:23 AM
jennybee
Re: Applying the combination rules
I think I may of got the initial part wrong and the dominant term should be 5^n. :s
• Mar 9th 2013, 09:35 AM
ILikeSerena
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! :)