In Problems 1-4, find a formula for R6(x), the remainder for the Taylor polynomial of order 6 based at a. Then obtain a good bound for |R6(0.5)|. See Examples 4 and 6?
1. In(2 + x); a = 0
2. e-x; a = 1
3. Sin x ; a = ( / 4
4. 1 / x - 3; a = 1