1 . Evaluate lim V.x+5 - 3 x-4 analytically. 2. Find lim [( ath)for the functionf (x) = x2 - 3x. h-0 h 3. Explain what the limit in problem 2 represents. Draw a graph that supports your explanation. 4. Find an equation of the line tangent to the following curve at the given point. y = 3x' + sin x; (0, 0) 5. Sketching a graph Sketch the graph of a function f with all the following properties. *-2 lim f(x) = co lim f(x) = -co lim f(x) = co *-2 lim f(x) = 2 lim f(x) = 4 f(3) = 1