- #1
Square1
- 143
- 1
OK...
"A power series can be differentiated or integrated term by term over any interval lying entirely within the interval of convergence"
When i do term by term differentiaion or t-by-t integration of a series though, am i making use of this fact?
Does this come into play later in a class?
Or is this fact referring to if i wanted to take the rate of change of the summation, then i can only do it on the interval of convergence.
Any response or even just an elaboration would be helpfull. Kind of confused about the matter. Thanks.
"A power series can be differentiated or integrated term by term over any interval lying entirely within the interval of convergence"
When i do term by term differentiaion or t-by-t integration of a series though, am i making use of this fact?
Does this come into play later in a class?
Or is this fact referring to if i wanted to take the rate of change of the summation, then i can only do it on the interval of convergence.
Any response or even just an elaboration would be helpfull. Kind of confused about the matter. Thanks.