Fo= n25 The domain of a power series is always an interval that is centered at the center of the power series. Thus, the domain of a power series is referred to as the Interval of Convergence of the...

Please solve parts 7 and 8 in the given image. Figure 3 from 11.8 is also attached.

Extracted text: Fo= n25 The domain of a power series is always an interval that is centered at the center of the power series. Thus, the domain of a power series is referred to as the Interval of Convergence of the power series. The distance from the center to the exterior of the Interval of Convergence is called the Radius of Convergence. 7. What is the Radius of Convergence for F(a)? Note that this could have been answered immediately from your work with the Ratio Test in # 2. 8. Sketch a picture of the Interval of Convergence for F(a) similar to the one in Figure 3 in §11.8. Label the center of the power series, the r-values for which the power series converges, and the r-values for which the power series diverges.


Extracted text: convergence for x- alR - FIGURE 3