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10.1 Defining Convergent and Divergent Infinite Series

Syllabus
2020
Topic
10.1
Level
—

LIM-7.A—Determine whether a series converges or diverges

  • LIM-7.A Determine whether a series converges or diverges.
  • LIM-7.A.1 The nth partial sum is defined as the sum of the first n terms of a series.
  • LIM-7.A.2 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.
  • Enduring understanding LIM-7: Applying limits may allow us to determine the finite sum of infinitely many terms.

Objective notes

1 learning objective
ConceptAP Calculus BC