If I found that a series converges, how can I know to what number it's converging to?
I started learning series in calculus and I have trouble catching a basic concept. When I try to find if a series converges or diverges I have many ways to go about it. If I see that the series diverges than I stop there. If I see that the series converges than there is a number it's converging to right?
For example: . I do the limit comparison test with the series and get a finite number 2. I know that converges, so now I know that converges also. How do I know to what number it converges to?