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Examples of Convergence of Sequence of Functions

Instructions

Use this dynamic activity to explore several examples of convergence of sequence of function. Select different pages to check different sequences of functions. You can also change the interval. Slide n and for each n, find the N such that when n N, fn(x) locates in the -neighborhood.

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?