1. Sketch the graph of a function f that satisfies all of the given conditions. Label your graph clearly. X-+00 lim f(x) = 4, lim f(x) = -co, lim f(x) = co, lim_f(x) = 4, lim, f(x) = 2,f(-3) = -1, lim f(x) = 0 2. Determine the limits. Show work to demonstrate logic/technique used. a. lim tan x = b. lim *(x-5) X-5 x2-25 3. Determine the limits. Show work to demonstrate logic/technique used. a. lim 3-VX x-+9 x-9 b. b. lim xe 2x = X-+00 4. True or False. Fill in the blank as appropriate. a. A derivative can be thought of as a rate. b. A derivative can be thought of area. c. A derivative can be thought of as a slope. d. A derivative can be thought of as a limit. 5. Write the equation of the tangent line to the curve of y = efx + cos(nx) at the point (0,2)