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AP Calculus BC

Unit 10: Infinite Sequences and Series

17–18% of exam score

Convergence tests, power series, Taylor and Maclaurin series, radius and interval of convergence, and error bounds.

f(x)=∑n=0∞f(n)(c)n!(x−c)nf(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n

What this unit covers

  • nth-term, integral, comparison, ratio and alternating series tests

  • Radius and interval of convergence

  • Taylor and Maclaurin series

  • Lagrange and alternating series error bounds

Other units in AP Calculus BC