Lesson: Maclaurin and Taylor Series of Common Functions Mathematics • Higher Education

Students will be able to

• calculate Taylor and Maclaurin series representations of common functions, such as exponential, sine, cosine, and binomial functions,
• use Taylor and Maclaurin series of compositions of common functions, such as or ,
• use Maclaurin series to find approximations of specific values of these functions,
• use Taylor and Maclaurin series to approximate integrals of functions such as and find the maximum value of the error in the approximation.