Use the fact that the power series representing inverse tangent (x) is as given below tan (x) (-1)" x2n+1 2n+1 tan (ax) + C dx 1+ (ax) a a) To write the power series representation of f(x) = +4dx b) Choose a value for x and the results in part a) to estimate by the 4th partial sum of the series for f(x). Use 5 or 6 decimal places and compare it with the calulator's value of and that f = a) Find the power series representation for In(1+x) and find its radius of convergence b) Use the result for part a) to find the power series representation for x ln(1 + x) c) Use part b) to estimate the value of In 2 to 5 decimal places. Compare this value with 5 decimal place approximation of In 2 on the calculator.