INFINITE SERIES

an of n be close to infinte, when will the series converge to a value?

In order to avoid confusion, we will write conditional convergence as

|an|

we will prove this using EPSILON-DELTA logic. For any EPSILON, there is always a DELTA valueB

For example, if an=1/n then there exists a limit value.

Caution!

‡@A partial series of an will converge.

‡AWe can say: Absolute convergence of series can be expressed as integrations Take the example above

1/x dx