What is the difference between absolute and conditional convergence?[examples will be appreciated]
Here is a nice video:
In mathematics, you don't understand things. You just get used to them.
I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.
The sequence is absolutely convergent iff both and converge.
It is conditionally convergent iff converges while diverges.
is absolutely convergent. We have and .
is conditionally convergent. We have while is divergent.