Limit of an Infinite Sum


Is it possible to "calculate":

knowing that:

Answer by Pablo:

This is a very good question, and the answer is not simple. Your question is about infinite series, a really fascinating topic that I couldn't do justice in this short answer. However, I'll give it a try.

The short answer to your question is that it is generally very hard to find the result of an infinite series. Sometimes it is relatively easy, as it is in the case of the sum of the geometric series.

What we could try to do in most cases, though, it is to prove that the limit indeed exists. That's a whole science of its own, and one that can give you a satisfying answer most of the time.

If you really want to find the result of a convergent infinite series, I recommend you to use wolfram alpha. They have a lot of infinite series and it is really easy to use.


Comments for Limit of an Infinite Sum

Average Rating starstarstarstarstar

Click here to add your own comments

Oct 27, 2015
Infinite Sum NEW
by: Anonymous

What a really awesome post this is. Truly, one of the best posts I've ever witnessed to see in my whole life. Wow, just keep it up.
Safe Cars For Teen

Jul 31, 2015
informative! NEW
by: Janko

I have felt this question little bit tough and I don’t know whether I could solve this problem. But I will try my level best to get the correct answer. So please give me few times and I will come back very soon. excel not responding

Click here to add your own comments

Join in and write your own page! It's easy to do. How? Simply click here to return to General Calculus Questions.

Share this page: