Find the degree 4 Taylor polynomial for the function e2x centered at x = -2. 2 e-4 ( x + 2) + + 4e- 4 ( x + 2)3 + 2e-4 ( x + 2)2+ 2e-4(x +2) +e-4 O zet ( x - 2)4 + = et (x - 2)3 + 2et (x - 2)2 + 2et(x - 2) + et zet ( x + 2 ) 4 - 4et ( x + 2)3 + 2et ( x + 2)2 - 2et (x + 2 ) + et O 2x4+-x3+2x2+ 2x+ 1 Question 2 25 pts Find the degree 2 Taylor polynomial for the function e5x+5 centered at x = 0. O -25e-5x2 + 5e-5x -e-5+1 O 25 25 x2 + 505x + es O 25e-5 x2 - 5e-5 x te-5 O 25 5 x2 + 5ex te + 1 NFor Taylor polynomial approximations of f (x) centered at x = a, higher degree Taylor polynomial approximations will often give more accurate estimations of f (x) around a. 0 True 0 False Question 4 25 pts ATaylor polynomial approximation of f (x) centered at x = a will often be more accurate for x values close to (1 than far away from a. 0 True 0 False