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AP Calculus BC›Unit 6: Infinite Sequences and Series›Taylor and Maclaurin Series

Taylor Polynomials

A Taylor polynomial matches a function's value and derivatives at one point. The more terms you include, the longer it follows the curve.

Building from derivativesMaclaurin series to memorizeManipulating known series

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Unit 6: Infinite Sequences and Series

  • The Ratio Test
  • Alternating Series
  • Integral and Comparison Tests
  • Taylor Polynomials
  • Lagrange Error Bound
  • Radius and Interval of Convergence

Next topic

Lagrange Error Bound

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Also called: taylor series, maclaurin series, power series