1. Find the equations of any horizontal asymptotes by finding limits using algebraic methods. Use algebraic methods to evaluate the limits. f(x ) = 5x3-2 6x2 -x3' 2. Sketch a function that satisfies the following requirements: lim f(x) = 4 x--2 .3 - lim f (x) = does not exist X-0 - 2- lim f (x) = co x-0+ lim f (x) = 3 X - 3 - -3 lim f (x) = 1 x-3+ lim f (x) = 0 X -+00 ' 3. Find the limit using algebraic methods. Show all your work. lim sin(3x)-2x X-0 5x