Lesson: Representing Rational Functions Using Power Series Mathematics • Higher Education

In this lesson, we will learn how to use the formula of the infinite sum of geometric series to find a power series representation for some rational functions.

Lesson Video

Sample Question Videos

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Lesson Worksheet

Q1:

Let us consider .

Find a power series representation for .

Find its radius of convergence.

Q2:

Let us consider .

Find a power series representation for .

Find its interval of convergence.

Q3:

Consider .

Find a power series representation for .

Find its interval of convergence.