8.3. Series and Power Series

Definition 8.3.1: Function Series

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

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