Exam 9: Section 9: Infinite Series

Find a geometric power series for the function centered at 0, (i) by the technique shown in Examples 1 and 2 and (ii) by long division.

Find a power series for the function centered at 0.

Find a power series for the function centered at 0.

Use the power series to determine a power series centered at 0 for the function .

Find a geometric power series for the function centered at 0.

Find the sum of the convergent series by using a well-known function. Round your answer to four decimal places.

Identify the interval of convergence of a power series .

Explain how to use the geometric series to find the series for the function .

Use the power series to determine a power series for the function .

Find the sum of the convergent series by using a well-known function. Round your answer to four decimal places.

Find a power series for the function centered at 1.

Use the series for to approximate the value of using . Round your answer to three decimal places.

Use the power series to determine a power series centered at 0 for the function . .

Find a power series for the function centered at 0.

Identify the interval of convergence of a power series .

Identify the interval of convergence of a power series .

Find a geometric power series for the function centered at 0.

Explain how to use the geometric series to find the series for the function .

Find a power series for the function centered at 0.