Finding Taylor or Maclaurin series for a function

Function as a geometric series

Geometric series as a function

Power series of arctan(2x)

Power series of ln(1+x³)

Function as a geometric series

Maclaurin series of cos(x)

Maclaurin series of sin(x)

Maclaurin series of eˣ

Worked example: power series from cos(x)

Worked example: cosine function from power series

Worked example: recognizing function from Taylor series

Maclaurin series of sin(x), cos(x), and eˣ

Visualizing Taylor series approximations

Euler's formula & Euler's identity

Geometric series interval of convergence