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Curricula
AP
College Board
Maths
Calculus Bc
Unit 10: Infinite Sequences and Series
Unit 10: Infinite Sequences and Series
1
Introduction to Infinite Series
1.1
Convergent & Divergent Infinite Series
1.2
Geometric Series
1.3
Harmonic Series & p-series
2
Tests for Divergence & Convergence
2.1
nth Term Test for Divergence
2.2
Integral Test for Convergence
2.3
Comparison Tests for Convergence
2.4
Alternating Series Test for Convergence
2.5
Ratio Test for Convergence
2.6
Absolute & Conditional Convergence
2.7
Alternating Series Error Bound
3
Series Representations of Functions
3.1
Taylor Polynomial Approximation of a Function
3.2
Taylor or Maclaurin Series for a Function
3.3
Error Bounds for Power Series
3.4
Representing Functions as Power Series
3.5
Radius & Interval of Convergence of Power Series
