Let f(2)=v/2 sin (x+4) Answer the following. Show and explain your work. (a) Find the Taylor polynomial of order 4, generated by f(x) at x=0. (b) Describe the MacLaurin series of f (with or without...

Extracted text: Let f(2)=v/2 sin (x+4) Answer the following. Show and explain your work. (a) Find the Taylor polynomial of order 4, generated by f(x) at x=0. (b) Describe the MacLaurin series of f (with or without the sigma notation). (Hint: What pattern do the derivatives of f at x=0 follow?) (c) Does the MacLaurin series of f converges absolutely, converges conditionally or diverges at x=1?