4. One of the following polynomials is the Taylor polynomial of degree 5 of the function x) = (x + 2)sin(2r') around at = 0. Decide which answer is correct without computing the Taylor polynomial. Briey describe how you decided on your answer. Include your reasons both for why you picked the answer and for why the others were not correct. A a as a. 2+x+2tx2+slx3+x b. 43r+2x2 af'x3 %x4+ $3? c. 2(x 1)+4(x1)2+%(x 1f +%(x 1J4+ %(x1}5 d. x+2x2+3ilx3+x4+x5+x6