Convergent & Divergent Infinite Series

Defining convergent and divergent infinite series.

Mapped to AP College Board # LIM-7, LIM-7.A, LIM-7.A.1, LIM-7.A.2

Applying limits may allow us to determine the finite sum of infinitely many terms. Determine whether a series converges or diverges. The nth partial sum is defined as the sum of the first n terms of a series. An infinite series of numbers converges to a real number S (or has sum S), if and only if the limit of its sequence of partial sums exists and equals S.