Please answer the following questions below, Please make sure that your writing is clear, neat, concise and easy to read/follow thankyou

1. Determine the following limits (if they exist). (2 marks each) a. lim (324 + 2x2 - 5) 7 +3 b. lim C +5 c. lim 2'+2-20 8-2x 2. Evaluate the following limits (if they exist). (3 marks each) a. lim b. lim Va+16-4 C. lim C +64 x-64 3. From first principles (i.e. using the tangent slope method), find the slope of the following curves at the given value of x. (3 marks each) a. f (x) = 2x2 - 6x at x = 3 b. y = 3x* + 1atx = -4 4. Look at the graph below of the derivative f (@). From this, make a sketch of the original function f (x) and of the second derivative f" (x), and explain your reasoning. (7 marks)