Approximate f by a Taylor polynomial with degree n at the number a. Step 1 The Taylor polynomial with degree n = 3 is T3(x) = f(a) + f '(a)(x − a) + f ''(a) 2! (x − a)2 + f '''(a) 3! (x − a)3. The function f(x) = e2x2 has derivatives f '(x) = $$4x e2x2, f ''(x) = $$16x2+4 e2x2, and f '''(x) = $$48x+64x3 e2x2. Step 3 Therefore, T3(x) = . Submit Skip (you cannot come back)