Examples of Power Series Convergence
Instructions
Use this dynamic activity to explore several examples of Power Series Convergence. Select different pages to check different series. Slide n to observe the process of the function fn(x) convergent to the limit function f. You may change the -neighborhood to find the corresponding N.
Reflection Questions
Are these sequences of function converges uniformly on the set A? If it is, what is the value of N works for every value x in the domain A? If in is not, what are the counter-examples? How to identify "convergence pointwise" and "convergence uniformly" graphically from the demonstration in this activity?