05: True or False [2 pts each] Determine whether each statement below is true or false. The second degree Taylor polynomial centered at as = 1 for f(ac) = 29:2 is 322(3) = 2 + 4(zc 1) + 2(93 1)2. Suppose f(w) = Zak'c + 2)lg and suppose that f(l) converges. Then the series represented by k=O f(5) must converge as well. 1 1 The 5th degree Taylor polynomial of sin(a:) centered at w = 7r is p5($) = (a: 7r) gm 7r)3 + 5(93 )5. 4 1 1 The open interval of convergence for the Taylor series of f(w) = 1 +Z$2 centered at w = 0 is (2, 2)