About the Taylor Series Calculator
Expands a function into a Taylor or Maclaurin series with term-by-term working.
What it is
Computes f(a), f'(a), f''(a), and so on up to your chosen order using math.js symbolic differentiation, then builds the series Σ f⁽ᵏ⁾(a)/k! · (x−a)ᵏ term by term.
Features
Center & order selection
Any center point a and order up to 10.
Term-by-term derivatives
Each derivative order shown as it's computed and evaluated.
General term recognition
Standard functions like eˣ, sin x, and 1/(1−x) show summation notation.
Comparison graph
Original function overlaid with the Taylor polynomial.