need help with questions

1. Find the limits of the following: a. lim - x 2 - 9 x-3x2+2x-3 b. lim Vt-3 t-9 t-9 C. lim (sin x) X - TC- d. lim - t-3 t2-9 e. lim 4x3+6x2 -2 t--00 2x3-4x+5 2. Use I.V.T on x4 + x - 3 = 0 to show there's a root on (1,2)