52 853
Assignments Done
97,8%
Successfully Done
In October 2017
Your physics homework can be a real challenge, and the due date can be really close — feel free to use our assistance and get the desired result.
Be sure that math assignments completed by our experts will be error-free and done according to your instructions specified in the submitted order form.
Our experts will gladly share their knowledge and help you with programming homework. Keep up with the world’s newest programming trends.

Answer on Complex Analysis Question for Norbert

Question #1393
I have got sequence (called An). The limit of (An) is alpha (n goes from 1 to infinite)
I have got another sequence called Xn. It looks like:

Xn=1/n*(Sum(Ak)) - (k goes from 1 to n)

I have to prove that the limit of the X sequence is alpha too!

I have tried to separate to two sequence from each other as:
lim(an*bn)=lim(an)*lim(bn)
So I think lim(1/n*(Sum(Ak))=lim(1/n)* lim(Sum(Ak))=0*lim(Sum(Ak))=0

But that's not correct because the limit of Xn should be alpha. What can I do?
Expert's answer
You have to prove that
limk->∞ (Sumk=1..n(An)) = nα
Thus
Xn = lim(1/n*(Sum(Ak)) = 1/n* nα = α

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be first!

Leave a comment

Ask Your question