Power Series Calculator

Evaluate power series and convergence intervals.

How It Works

  1. Enter x and terms. Type an x value and number of terms for the geometric partial sum Σxⁿ.
  2. Pick a Taylor series. Choose eˣ, sin(x), cos(x), ln(1+x), or geometric from presets.
  3. Set center point. Enter expansion center a and number of Taylor terms.
  4. Check convergence. See radius of convergence and interval for the selected series.
  5. Review term breakdown. View each term and running partial sum in a table.

Pair with our Ratio Test Calculator or Math Calculators.

Enter values to see results.

Formula & Reference

Σxⁿ · Taylor series expansions