Please answer all questions and show work for each question. Write an explanation and show all steps. Please write as neatly as possible. Thank you!

incorrect notation Show ALL your work and always use correct mathematical notation. Points will be deducted for 1. Evaluate each of the following limits if they exist (be careful with indeterminate forms). Use co or - co when appropriate and justify your answer a) lim x2 -8 x-4 x -4 b) lim x2 -8 x-4+ x-4 c) lim *-8 X-4 x-4 d) lim x-8 x--cox-4 e) lim 6x5-12x+5 X-+00 x4+9 f) lim 15x3-x+1 X-+00 6x3-x3x2+9x x2+x6 2. Consider the function f(x} = a} Determine the domain of the function h} Use limits to determine the equations of all vertical and horizontal asymptotes and the coordinates of all the holes (if any}. Full credit will only be given if all limits are shown and correctly calculated 3. Use the limit denition to find the derivative of each function, show all your steps. Full credit will be given only for using this method Recall: f'(x} = LirrsLhim a) f(x) = 3):2 x