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AP Calculus BC
Unit 1: Limits and Continuity
Unit 2: Differentiation: Definition and Fundamental Properties
Unit 3: Differentiation: Composite, Implicit, and Inverse Functions
Unit 4: Contextual Applications of Differentiation
Unit 5: Analytical Applications of Differentiation
Unit 6: Integration and Accumulation of Change
Unit 7: Differential Equations
Unit 8: Applications of Integration
Unit 9: Parametric Equations, Polar Coordinates, and Vector-Valued Functions
Unit 10: Infinite Sequences and Series
10.1 Defining Convergent and Divergent Infinite Series
10.2 Working with Geometric Series
10.3 The nth Term Test for Divergence
10.4 Integral Test for Convergence
10.5 Harmonic Series and p-Series
10.6 Comparison Tests for Convergence
10.7 Alternating Series Test for Convergence
10.8 Ratio Test for Convergence
10.9 Determining Absolute or Conditional Convergence
10.10 Alternating Series Error Bound
10.11 Finding Taylor Polynomial Approximations of Functions
10.12 Lagrange Error Bound
10.13 Radius and Interval of Convergence of Power Series
10.14 Finding Taylor or Maclaurin Series for a Function
10.15 Representing Functions as Power Series
AP/Calculus BC/Concept/Unit 10: Infinite Sequences and Series

Unit 10: Infinite Sequences and Series

Syllabus
2020
Section
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Level
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Exam analysis

Most tested topics

  1. Defining Convergent and Divergent Infinite Series
  2. Working with Geometric Series
  3. The nth Term Test for Divergence
  4. Integral Test for Convergence
  5. Harmonic Series and p-Series
  6. Comparison Tests for Convergence
  7. Alternating Series Test for Convergence
  8. Ratio Test for Convergence
  9. Determining Absolute or Conditional Convergence
  10. Alternating Series Error Bound
  11. Finding Taylor Polynomial Approximations of Functions
  12. Lagrange Error Bound
  13. Radius and Interval of Convergence of Power Series
  14. Finding Taylor or Maclaurin Series for a Function
  15. Representing Functions as Power Series