Taylor Series

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A Taylor series is a power series of a function around a given point.

Taylor series is a college-level concept that would be first encountered in a Calculus II course. It is an Advanced Placement Calculus BC topic and is listed in the California State Standards for Calculus.


Maclaurin Series: A Maclaurin series is a Taylor series expansion of a function around zero.


Derivative: A derivative is the infinitesimal rate of change in a function with respect to one of its parameters.
Series: In mathematics, a series is an (often infinite) sum of terms specified by some rule.

Classroom Articles on Calculus II (Up to College Level)

  • Arc Length
  • Power Series
  • Convergent Series
  • Radius of Convergence
  • Exponential Growth
  • Ratio Test
  • Harmonic Series
  • Surface of Revolution