Khan Academy

Partial sums intro (K-A)

Partial sums: formula for nth term from partial sum (K-A)

Partial sums: term value from partial sum (K-A)

Proof of infinite geometric series formula (K-A)

Conditional & absolute convergence (K-A)

Euler's formula & Euler's identity (K-A)

Function as a geometric series (K-A)

Geometric series as a function (K-A)

Geometric series interval of convergence (K-A)

Maclaurin series of cos(x) (K-A)

Maclaurin series of eˣ (K-A)

Maclaurin series of sin(x) (K-A)

Power series of arctan(2x) (K-A)

Power series of ln(1+x³) (K-A)

Visualizing Taylor series approximations (K-A)

Worked example: cosine function from power series (K-A)

Worked example: power series from cos(x) (K-A)

Taylor & Maclaurin polynomials intro (part 1) (K-A)

Worked example: recognizing function from Taylor series (K-A)

Taylor & Maclaurin polynomials intro (part 2) (K-A)

Visualizing Taylor polynomial approximations (K-A)

Worked example: coefficient in Maclaurin polynomial (K-A)

Worked example: coefficient in Taylor polynomial (K-A)

Worked example: Maclaurin polynomial (K-A)

Proof of p-series convergence criteria (K-A)