answer this math problems
Problem 1. Determine whether the following series converges absolutely, conditionally, or diverges (1)k arctan(k) Problem 2 Find the Taylor polynomial P2(x) of x sin12 centered at a = 1 and use it to estimate 1.01(1.01). Problem 3 Give an upper bound on the error term Rs(r) for the Taylor approximation of the function f(x) ln(1-x) on the interval [1/23/2] Problem 4 Find the domain of convergence of the power series (Ink)2 Problem 5 Find a power series expansion of the function ae-, and de- termine its radius of convergence. Problem 6 Find the following limit using Taylor series: lim Tn(1-a) +2 203 PM Type here to search