t answer. Given that f (x) is continuous for all real numbers, which of the following statements is necessarily true? (x) -1 - 2 4 2 3 There is some c in the interval [0, 2] such that f (c) = 4. N - 4-2- 3 There is some c in the interval [1, 2] such that f (c) = -5. There is some c in the interval [2, 4] such that f (c) = 6. There is some c in the interval [0, 3] such that f (c) = 2. There is some c in the interval [0, 4] such that f (c) = -3. sin 4x if x # 0 Let h(x) = 4 x Find a value of a so that h is continuous at x = 0. if x = 0 a = 0 a = _ a = 4 x - 21 lim x - 2 O Nh-0 X - 36 4. lim Vx-6 = x-36x-36 *736 ( X - 36 ) ( vx + 6 ) * - 36 + / 36 *- 3 DNS 6 - 6 150 In - 1 wer. N all real numbers, ts is necessarily true? in N - 2 4 terval [0, 2] such that f (c) = 4.lim(sint - cost = t-+ 2 1- 0 =