Please answer all of the questions. Show all work.

Please answer all of the questions. Show all work.

1.) For the function f(x) = ((e^x)+(e^(-x)) / 2 at a = 0, use Taylor's inequality to bound the error | f(x) - T3(x) | for |x| is less than or equal to 1

2.) Use Taylor's inequality to determine an n > 0 so that the Taylor polynomial Tn(x) for cos x at a = 0 satisfies | cos 2 - Tn(2) | is less than or equal to .0001