Lesson: Taylor Series AP Calculus BC

Mathematics

In this lesson, we will learn how to find Taylor series of a function and find the radius of convergence of the series.

Video

16:41

Q1:

The following table shows the value of function and some of its derivatives at .


3		5	8

Write the first 5 terms of the Taylor series of .

Q2:

For the function : , and for .

Find the first five terms of the Taylor series representation of at .

Q3:

Consider the function .

Find the Taylor series representation of the function at .

Are the terms of the Taylor series representation for the function finite or infinite?

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