P1: (6 points) For each of the following difference equations: (1pt) Find the general solution. Assume in each case Xo = 10. . (1 pt) Find lim Xn (if it exists). n-0o (a) Xn+1 = 0.9xn (b) Xn+1 = 2xn + 2 (c) 3xn+1 - 2xn+1 =0 P2: (3 points) For part a above, write the sequence, and plot the Xn data for 20 time stops. What pattern do you see? P3. (6 points) For each of the following functions: . (1pt) Identify the domain. . (1pt) Evaluate the limit of the function at the discontinuities. If there are no discontinuities, evaluate the limit as x -> 0. (a) f(x) _ * + 4x - 12 x-2 (b) g(x) V2-X - V2 X (c) h(x) = V3x2 + 4