Answer all the questions and show all work

6 (ii) (3 points) Evaluate the limit, if it exists. Va2 +9 -5 lim x -+ -4 x+4 + Drag and drop an image or PDF file or click to browse... 7 (3 points) Prove that lim va [1 + sin? (2" ) ] = 0. + Drag and drop an image or PDF file or click to browse... 8 (3 points) Find the limit, if it exists. If the limit does not exist, explain why. lim I -+ 0+ + Drag and drop an image or PDF file or click to browse... 9 (5 points) Find the numbers at which f is continuous. At which of these numbers is f continuous from the right, from the left, or neither? Sketch the graph of f. x' +1, ifx 4 + Drag and drop an image or PDF file or click to browse... 10 (3 points) Find the values of a and b that make f continuous everywhere. x -21 1fx 3 + Drag and drop an image or PDF file or click to browse... 11 (3 points) Use the Intermediate Value Theorem to show that there is a root of the given equation in the specified interval. sin(x) = 2 - x, x E (1, 2)