Convergent and Divergent Infinite Series

  • With the use of limits, it is possible to determine the finite sum of infinitely many terms.
    • This section primarily focuses on determining whether a series converges or diverges.
      • Understanding partial sums in regards to terms of a series is paramount.
      • An infinite series of number converges to a real number, if and only if the limits of its sequence of partial sums exists and equals that same real number.

Essential Questions

How can limits be used to define convergent and divergent series?