Sum

[Trumbone]

If you are given a series and you find it's interval of convergence, how would you find what it sums to in it's radius of convergence?

 

[chrisr]

Depends on the nature of the pattern of the series, whether it is arithmetic, geometric, etc,
maybe the sum can be rewritten as a formula in terms of the number of terms, or whether it is infinite.

Do you have a specific series?

 

[daon]

It depends on your independent variable, and its sum may not be easy to find. If you were asked to find the value of a series (and it isn't a trick question!), its likely you'll need to employ techniques previously learned (e.g. squeeze theorem).