Find a power series representation for the function. X f(X) = (1 + 3x)2 f(x) = n= 0 Determine the radius of convergence, R. R =This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part. Tutorial Exercise Evaluate the indefinite integral as a power series. What is the radius of convergence R? 1 - dt Step 1 Using I'm, a power series representation of is n = 0 n = Submit Skip (you cannot come back)Evaluate the indefinite integral as a power series. x6 In(1 + x) dx f(x) = C+ n= 1 What is the radius of convergence R? R =Evaluate the indefinite integral as a power series. tan -1 (X dx X f(x) = C+ n = 0 What is the radius of convergence R? R =Let rm= 2%- 11:1\"| Find the intervals of convergence for f. (Enter your answers using interval notation.) U Find the intervals of convergence for f'. U Find the intervals of convergence for f\". U