Infinite Series

1. Section 8-5
Infinite Series

2. In-Class Activity
p. 515

3. The Sum S∞:

4. ∞
The Sum S∞: of the infinite series ∑ ai is the limit of the
i=1
sequence of the partial sums Sn of the series,
provided the limit exists and is finite.

5. ∞
The Sum S∞: of the infinite series ∑ ai is the limit of the
i=1
sequence of the partial sums Sn of the series,
provided the limit exists and is finite.
n ∞ n
If Sn = ∑ ai , then S∞ = ∑ ai = lim Sn = lim ∑ ai .
n→∞ n→∞
i=1 i=1 i=1