Definition: The AREA A of the region S that lies under the graph of the continuous function f is the limit of the sum of the areas of approximating rectangles

(a) Use the above definition to determine which of the following expressions represents the area under the graph of from = 0 to = 2.

(b) Evaluate the limit that is the correct answer to part (a). You may find the following formula helpful:

Value of limit =

You can earn partial credit on this problem.