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 $\displaystyle a_n$ 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.
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!!