Please answer the "5-8" and the "9-12", you don't have to do the rest. Thank you!

9-9 Supplemental problems In Exercises 1- 4, find the interval of convergence and the function of x represented by the geometric series. 1. _ 2"x" 2. > (-1)"( x + 1)" n=0 1=0 3. E ( -2 ) (x - 3 ) " 4. 3 x-In n=0 2 5-8: For each problem 1-4, use the series and the function f(x) that it represents to find a power series for f (x). 9-12: For each problem 1-4, use the series centered at a and the function it represents to find a power series for Saf(t) dt