(a) Divide the power series in Exercise 41 by 3x² to obtain a power series for h(x) = 1/(1 − x³)² and use the Ratio Test to show that the radius of convergence is 1.

Data From Exercise 41

Differentiate the power series in Exercise 39 to obtain a power series for

Data From Exercise 39

Use Eq. (2) to expand the function in a power series with center c = 0 and determine the interval of convergence.

Data From Exercise 39

Use Eq. (2) to expand the function in a power series with center c = 0 and determine the interval of convergence.

Transcribed Image Text:

g(x) = 3x (1-x)