AP Unit 10: Infinite Sequences and Series
Find these readings by topic
This earlier reading list remains available with its complete tasks. The current book places these resources in the following topic chapters:
- Sequences, series, and convergence →
Distinguish terms from partial sums, choose justified convergence tests, and bound the uncertainty in an alternating partial sum.
- Power series and Taylor approximation →
Represent functions with series, build local Taylor polynomials, and justify convergence intervals and approximation error.
Make convergence claims with hypotheses, approximate infinite sums with error bounds, and build Taylor and power series with verified endpoints.
Follow the topics below, then try the 30 unit problems before opening the separate step-by-step solutions.
- 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 ↗