Consider the function f(x) = x log(x). Let Tn (a) denote the Taylor approximation of order n for f(x ) about x = 1. Find the following: T1 (2) = T2 ( 2) = T3 ( 2) = Use 3 decimal places in your answer, but make sure you carry all decimals when performing calculations The approximation T3 (2) is ? the exact value f(2). In the definition f(x) = Tn(a) + En(), the Lagrange Remainder Formula provides the estimate I E3 (2) 1 5