1. Find the limit or show that it does not exist. Show your work. Notice that in the first limit, x approaches negative infinity, but in the second limit, x approaches infinity. (a) (b) 2- 23 lim 4x3 + 8x + 1 V1 + 926 lim x -+00 3 - 2x + 23 2. Use the limit definition discussed in class to find the equation of the tan- gent line to the curve f(x) = 4x - 3x2 at the point (2, -4). Draw a graph that pictures the curve and the tangent line. Show your work. 3. Use the limit definition discussed in class to find the equation of the tan- gent lines to the curve f(a) = x at the points (1, 1) and (4, ?). Graph the curve and both tangent lines. Be careful here! There is a lot of algebraic manipulation to be done (find common denominator, multiply by the conjugate, then cancel terms)