How do you find the nth partial sum, determine whether the series converges and find the sum when it exists given #1+1/3+1/9+...+(1/3)^n+...#?
1 Answer
Jul 30, 2017
Explanation:
This is a geometric series of ratio
Consider the
and note that:
so that:
As
And in general we can see that a geometric series converges when:
that is for