# Worksheet: Power Series and Radius of Convergence

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

Q1:

Find the interval of convergence for the power series .

• A
• B
• C
• D
• E

Q2:

Find the interval of convergence of the power series .

• A
• B
• C
• D
• E

Q3:

Determine the interval of convergence of the series .

• A
• B
• C
• D
• E

Q4:

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.

Q5:

Find the radius of convergence for the power series .

Q6:

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

Q7:

Find the interval of convergence for the power series .

• A
• B
• C
• D
• E

Q8:

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

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:

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

Q11:

Find the interval of convergence of the power series .

• A
• B
• C
• D
• E

Q12:

Find the radius of convergence of the power series .

• A2
• B0
• C
• D1
• E

Q13:

Find the radius of convergence of the power series .

Q14:

Find the radius of convergence of the power series .

• A
• B0
• C
• D2
• E1

Q15:

Find the interval of convergence of the power series .

• A
• B
• C
• D
• E