# 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

**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.

- A1
- B
- C
- D
- E0

**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.

- A
- B1
- C0
- D
- E 2

Determine the interval of convergence of the power series.

- A
- BThe series converges only at
- 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: **

Consider the power series .

Determine the radius of convergence of the power series.

- A0
- B
- C
- D1
- E

Determine the interval of convergence of the power series.

- A
- B
- C
- D
- E