# Lesson Worksheet: Power Series and Radius of Convergence Mathematics • 12th Grade

In this worksheet, we will practice defining a power series and finding the radius of convergence of the power series.

Q1:

Find the radius of convergence for the power series .

Q2:

Consider the power series .

Find the interval of convergence of the power series.

• A
• B
• C
• D
• E

Find the radius of convergence of the power series.

Q3:

Find the interval of convergence for the power series .

• A
• B
• C
• D
• E

Q4:

Find the interval of convergence of the power series .

• A
• B
• C
• D
• E

Q5:

Consider the power series .

Find the interval of convergence of the power series.

• A
• B
• C
• D
• E

Find the radius of convergence of the power series.

• A
• B0
• C
• D
• E1

Q6:

Find the interval of convergence for the power series .

• A
• B
• C
• D
• E

Q7:

Consider the power series .

Determine the radius of convergence of the power series.

• A2
• B
• C
• D0
• E1

Determine the interval of convergence of the power series.

• A
• B
• C
• DThe series converges only at
• E

Q8:

Consider the power series .

Determine the radius of convergence of the power series.

• A
• B1
• C0
• D
• E

Determine the interval of convergence of the power series.

• A
• B
• C
• D
• E

Q9:

Consider the power series .

Determine the interval of convergence of the power series.

• A
• B
• C
• D
• E

Determine the radius of convergence of the power series.

Q10:

Find the radius of convergence of the power series .

• A2
• B0
• C
• D1
• E

This lesson includes 4 additional questions and 65 additional question variations for subscribers.