Interactive Real Analysis - part of MathCS.org

Next | Previous | Glossary | Map | Discussion

Suppose { f_n(x) } is a sequence of functions and we define the N-th partial sum as

S_N(x) = f_n(x)

Let D be the set of points for which the sequence of partial sums converges pointwise. Then, for x D, we denote the resulting limit function by

f_n(x) = S_N(x) = f_n(x)

Next | Previous | Glossary | Map | Discussion