Power Series Calculator | Expand Functions into Series

Power Series Calculator

Power series represent functions as sums of infinite polynomials which net result is centered about a point. The general form is:
f(x) = n=0 aₙ(x-c)ⁿ

  • Input any analytical function and compute its power series expansion about a point c.
  • See the resulting polynomial approximation, the exact and approximated graphs, and coefficient table.
  • Great for students and educators studying Taylor series, Maclaurin series, function approximations, and calculus!

Power Series Input

Coefficient Table (aₙ)

n aₙ

Function & Series Graph

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