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.

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- Nov 10th 2009, 05:11 AMconcernProve 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. - Nov 10th 2009, 06:59 AMconcern
hey, can we use supremum and infemum concept here?

- Nov 10th 2009, 07:51 AMOpalg
Replacing $\displaystyle a_n$ by $\displaystyle b_n = a_n - p$ (for all n), you reduce the problem to the case where p=0. The proof for that case is given in this thread.

- May 5th 2013, 05:22 PMMarissa043Re: 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!!

- May 6th 2013, 09:03 AMOpalgRe: 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

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