4. (a) Show that if Tha(x) is the nth degree Taylor polynomial of f centered at a, then Tha(x) is the (n - 1)st Taylor polynomial of f'. (b) Find the nth Taylor polynomial for - around x = 0 (c) Use part (b) to approximate In(1 + x) as a polynomial. Use this to prove In 2 ~ 1 - NIK +