1. Use the precise definition of a limit to show that 12 lim x-3- x -33. Determine the dimensions of the rectangle with the largest area inscribed in the region bounded between the curve y = and the x-axis. 1+)c2 2. Using the definition of the derivative (no derivative rules or techniques!), determine the equation of the line tangent to the curve y = 3x2 - x + 5 when x = 1