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Unit 10: Infinite Sequences and Series
BC only · 15–20% of BC multiple choice.
15 Lessons
Level 1
Partial sums and series convergence
Partial sums and convergence
Core
Level 2
Geometric series
Geometric series
Core
Level 3
Term test for divergence
The term test for divergence
Core
Level 4
Integral test
The integral test
Core
Level 5
Harmonic and p-series
Harmonic and p-series
Core
Level 6
Direct and limit comparison
Comparison tests
Core
Level 7
Alternating series
Alternating series
Core
Level 8
Ratio test
The ratio test
Core
Level 9
Absolute and conditional convergence
Absolute and conditional convergence
Core
Level 10
Alternating remainder
Error in alternating series
Core
Level 11
Taylor polynomial and approximation
Taylor polynomials
Core
Level 12
Lagrange remainder
The Lagrange error bound
Core
Level 13
Radius and endpoint tests
Radius and interval of convergence
Core
Level 14
Taylor and Maclaurin series
Taylor and Maclaurin series
Core
Level 15
Transform power series
Building new series from old
Core