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(3) (Understanding asymptotics) (25 points) (a) (15 points) Order the following functions according to their rate of growth. Specifically, group the functions into equivalence classes such that functions f and g are Suppose h is low of h in the same class iff f(g), and then order the equivalence classes from slowest n=(n)f=(g) to fastest growing. For each successive pair of functions (f,g) in your order, state the relationship exponential between f and g, namely either f(g) or fo(g). property f2f2b3.fksortonthislisttoobtainthefinalorder.Todeterminetherelationshipbetweentwofunctions,takealimitoftheirratio,orusethelistofasymptoticpropertiesgivenin class. The exponential property in the handout from class may be especially useful.)