.. Sam 6 . Answers all questions please

1. Evaluate lim vilni. 2. Evaluate lim 1+= 3. Evaluate lim -1-2r 4. Find a cubic polynomial with a critical point at r = 3, an inflection point at (2, 4), and a leading coefficient of 1. 5. Find a function of the form y = ar + br' + c that has a y-intercept of 5 and absolute maxima at (1, 7) and (-1, 7). 6. If f has the following properties, sketch the graph of f below. It should be clear where all asymptotes, local extrema and inflection points occur. . f'(x) > 0 on the interval (0,5) . f'(x) 0 on the intervals (-3, -2) U (7, 00) . f"(z)