Problem 57. Use the Taylor series of tan" to compute a with the error smaller than . Problem 58. Find the Taylor series centered at zero and the radius of convergence of the function 1 - 2r MATH. 2433, FALL 2022. HOMEWORK, EXAMS, SOLUTIONS. 15 Problem 59. Find the Taylor series series centered at zero and the radius of convergence of the function Problem 60. Find the Taylor series of series centered at zero the function 1020 + 920 - 828 - 727 + 123x2 - 2 +1. Problem 61. Find the Taylor series series centered at zero of the function f(x) = r' - r +1 + sin(x). Problem 62. 7. Find the function represented by the series un+1 n! 1=2