This video introduces the Limit Comparison Test and utilizes this method to determine the convergence of a series.

Calculates the MacLaurin series for the trigonometric function sine x. Comments on the pattern of the series.

Introduces Newton' Method and explains the procedure for finding a root.

Calculates the MacLaurin series for the exponential function. Also discusses the MacLaurin series for e^2x derived from the corresponding series for e^x.

Calculates the MacLaurin series for a composite function e^{sinx}. Highlights the fact that this series must be a polynomial.