A graphing calculator is not allowed for these questions.The Taylor series for a function f about x=0 is given by k=13k4kxka) Find f5(0). Show the work that leads to your answer.b) Use the ratio test to find the interval of convergence of the Taylor series for f about x=0.c) Use the second-degree Taylor polynomial for f about x=0 to approximate f(14).d) Given that |f'''(x)|1283 for -14x14, use the Lagrange error bound to show that the approximation from part (c) differs from f(14) by at most 19