1. Test the convergence of the power series below: 00 - (n – 1)2 (2x + 1)" 3"-2 n-1 Calculate the following: a. Center of convergence b. Radius of convergence c. interval of convergence 2. Express as...

I could use some help for no.4

Extracted text: 1. Test the convergence of the power series below: 00 - (n – 1)2 (2x + 1)" 3"-2 n-1 Calculate the following: a. Center of convergence b. Radius of convergence c. interval of convergence 2. Express as a single powerseries form: Ea,x- 2)" +(n + 1)ans1(x– 2)** n=2 n=1 3. Find the Fourier series of, -n<><-1 2="" —п/2=""><п 2="" п/2=""><х><л (1="" f(x)="}0" 4.="" determine="" the="" fourier="" sine="" series="" of="" f(x)="x" +1=""><>