Exercises relating to Taylor series and their computation.

Use the Maclaurin series for to give a complete formula for the Maclaurin series for :
Use the Maclaurin series for and to give a complete formula for the Maclaurin series for :
Your formula should account for the fact that there are only even powers of .
Compute the Taylor series of the function centered at the point .
Compute the Maclaurin series of the function identified below.

Sample Quiz Questions

Compute the first nonzero terms in the Taylor series at of the function

Compute the first nonzero terms in the Taylor series at of the function

Sample Exam Questions

The first few nonzero terms of the Maclaurin series for are:

(Hints will not be revealed until you choose your response.)

Find the Taylor polynomial of degree 2 for centered at .

none of these

Use the Taylor polynomial of degree for centered at to approximate the value of .

Let be the unique function that satisfies , , and for all . Find the Taylor Series of centered at .