d. Using the information from the previous parts, show that 1 e. Using the general term, Pn(x), you found in part b, determine if PM (5) is absolutely or conditionally 1 convergent. What is the value of P(] ? Justify your answer. 2x Use f(x) =-1+ (g(t)dt and the values below to answer the following questions. g(0) g'(0) = -_ 8 g"(0) = 32 g"(0) = - 3 32a. Create a polynomial approximation P4(x) of the Taylor series generated by f(x) at x = 0. b. Find the general term Pn(x) of the series in part a (assuming the pattern continues). c. What is the interval of convergence of the general term in part b