HELP

Problems 1 - 8, Use Taylor's Inequality to determine the error bounds of the approximations. 1. e~ 1+1+ 1 1 1 3! 4 ! 2. cos (0.4) ~ 1 - (0.4) 2 (0.4) 4 2! 4! 3. Estimate the value of el.5 by using a Taylor polynomial centered at x = 2, find the least degree of the polynomial needed to have an error less that 0.001. 4. Let f be a function having derivatives of all orders for all real numbers. The third-degree Taylor polynomial for f about x = 1 is given by P(x) = 6 - 9(x - 1)2 + 4(x - 1)3. Suppose If (4) (x) |