1. (6 points) Find the limit. lim 1- v 0-4+ 0-4 2. (7 points) Prove using the e, & definition of a limit. 1-+3 lim 212 - 3r + 1 = 103. (6 points) Using your graphing calculator, for the limit lim - 37 +4 =6 find the number & that corresponds to c = 0.2 4. (6 points) Sketch the graph of a function f that is continuous except for the stated discontinuity. Discontinuities at 4 and -1, but continuous from the right at 4 and from the left at -1.5. (6 points) Find the limits as x -+ co and as x -+ -co. Use this information, together with intercepts, to give a rough sketch of the graph. f(z) = (2-z) (x-1)'(2+1)'