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ExploreCalculusInfinite sequences and series

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Calculus

Infinite sequences and series

  • Defining convergent and divergent infinite series
  • Working with geometric series
  • The nth-term test for divergence
  • Integral test for convergence
  • Harmonic series and p-series
  • Comparison tests for convergence
  • Alternating series test for convergence
  • Ratio test for convergence
  • Determining absolute or conditional convergence
  • Alternating series error bound
  • Finding Taylor polynomial approximations of functions
  • Lagrange error bound
  • Radius and interval of convergence of power series
  • Finding Taylor or Maclaurin series for a function
  • Representing functions as power series

Small-group help sessions in "Infinite sequences and series"

Register for a session to review this topic with a small group of learners.

Calculus · series session

Infinite sequences and series

Today, we will cover infinite series and sequences, what they are, and what it means to converge or diverge. We will later expand on these in the next session. AP Calc AB students may skip this lesson (or join if you want to learn some more calculus!)

Noah B

0
6/30

Calculus · series session

Infinite sequences and series

Today is the final session before AP review! You've made it this far, and I'm incredibly proud of all of you. Today we will wrap up our last topic, convergence and divergence tests, as well as any other important information you should know for the AP exam. The rest of this course will be weekly AP review. AP Calc AB students may skip this lesson (or join if you want to learn some more calculus!)

Noah B

0
6/30

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