1. ## Prove this limit

Hello, can anyone give any hint regarding this? I'm lost.

Prove that if Lim an = p
n-->infinity
then,
Lim ( a1 + a2+ .......an )/n = p
n-->infinity

Can't get started.

2. hey, can we use supremum and infemum concept here?

3. Originally Posted by concern
Hello, can anyone give any hint regarding this? I'm lost.

Prove that if Lim an = p
n-->infinity
then,
Lim ( a1 + a2+ .......an )/n = p
n-->infinity

Can't get started.
Replacing $a_n$ by $b_n = a_n - p$ (for all n), you reduce the problem to the case where p=0. The proof for that case is given in this thread.

4. ## Re: Prove this limit

I actually have to solve this same problem, and I clicked on "this thread" but it just brought me to the general page of all the threads. I've been trying to find it but I'm not getting anywhere, is there a more specific location I can find the thread that solves this problem? Please help!!

5. ## Re: Prove this limit

As the link to my previous solution to this problem no longer seems to work, I have posted a response to this thread at

$\text{http://www.mathhelpb}\hspace{0.01pt}\text{oards.com/f52}$