Infinite Sequences and Series Discussion-Based Assessment Assigned Problems Use f(x)= -1+ [ g(1)dt and the values below to answer the following questions. 9(0) _ _ g'(0) - - 9"(0) - 3 32 g"(0) = 3 32 Part A: Create a polynomial approximation P4(x) of the Taylor series generated by f(x) at x = 0. Part B: Find the general term Po(x) of the series in part a (assuming the pattern continues). Part C: What is the interval of convergence of the general term in part b? Part D: Using the information from the previous parts, show that . . . . ...................................................g'(0) all- 9"(0) _ _3 Part A: Create a polynomial approximation P4(x) of the Taylor series generated by f(x) at x = 0. Part B: Find the general term P.(x) of the series in part a (assuming the pattern continues). Part C: What is the interval of convergence of the general term in part b? Part D: Using the information from the previous parts, show that Part E: Using the general term, P.(x), you found in part b, determine if |is absolutely or conditionally convergent. What is the value of P 5 ? Show your work that leads to your conclusion