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 = lim R = lim [f(x1)Ax + f(x2)Ax+.+f(xn)Ax] n-00 (a) Use the above definition to determine which of the following expressions represents the area under the graph of f(x) = x° from x = 0 to x = 2. 64 A. lim n00 n6 64 В. lim n-00 i=1 1 C. lim n+00 n6 i=1 64 D. lim i n00 nb (b) Evaluate the limit that is the correct answer to part (a). You may find the following formula helpful: n2 (n + 1)2(2n² + 2n – 1) 15 + 25 + 35+. ..+n° = 12 1=1 Value of limit = EM-IM: IM-IM-

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