1. Evaluate each limit if it exists. If it doesn't exist, state your reason. a. lim (-100) = x-100 c. lim 2x+3x32x2-5x b. lim -x-2 x-3 3x-7 [25] x0 x + 3x d. lim- x-3 x3 x-2-1 [f(x)] e. Given lim f(x)=-1, determine lim x0 x-0 3-f(x) 2. Examine the graph a. State the domain of the function. [7] 4 3 2 1 -3 -2 -1 1 2 3 4 5 6 -1 -2 -3 c. Is the graph continuous at x=1 ? STATE the reason. [6] b. Evaluate the following. State reason if necessary [12] lim f(x)= x-2 lim f(x)= x-2+ lim f(x) = x5 f(3) = 3. A dead branch breaks off a tree located ate the top of an 80-m-high cliff. After time, t, in seconds, it has fallen a distance, d, in meters, where d(t) = 3t2t. Determine the exact rate of change of the value at t=2s. [15]