# Approximating Pi with Continued Fractions

Approximating Pi with Continued Fractions

Continued fractions provide a very effective toolset for approximating functions. Usually the continued fraction expansion of a function approximates the function better than its Taylor or Fourier series. This Demonstration compares the quality of two approximations for . One is a continued fraction approximation derived from one for the Gamma function and based on that, the other is a continued fraction expansion the author has developed as a canonical even contraction.

π