(1 point) For the following indefinite integral, find the full power series centered at t = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. f (t ) = t 1 + +9 dt f (t) = C+> 7 0 f (t) = C+ + + + + + . . The open interval of convergence is: (-1,1) Give your answer in interval notation.)(1 point) Use the partial fractions method to express the function as a power series (centered at c = 0) and then give the open interval of convergence. 3x + 3 f() = 4x2 - 7x - 2 f(x) = > The open interval of convergence is: (Give your answer in interval notation. )(1 point) The function f(x) = 3x arctan(@") is represented as a power series f ( z ) = [ (nin. 0 What is the lowest term with a nonzero coefficient. Find the radius of convergence R of the series. R =