Answer the following questions and show all work

4 (3 points) Sketch the graph of an example of a function f that satisfies all of the given conditions. . lim f(x) = 2 x -+0 lim f(x) = 0 x -+ 0+ lim f(x) = 3 x- 4 lim f(x) = 0 x -+ 4 . f(0) = 2 . f(4) = 1 + Drag and drop an image or PDF file or click to browse... 5 (i) (3 points) Determine the infinite limit. Vac lim x-3- (a - 3)5 + Drag and drop an image or PDF file or click to browse... 5 (ii) (3 points) Determine the infinite limit. lim cot(x) + Drag and drop an image or PDF file or click to browse... 5 (iii) (3 points) Determine the infinite limit. lim x2 - 2x x -2- x2 - 4x +4 + Drag and drop an image or PDF file or click to browse... 6 (i) (3 points) Evaluate the limit, if it exists. (3 + h) 1- 3-1 lim h - h