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 Rn = lim [f(x1)Aæ +...

Please just find the value of limit part B only


Extracted text: 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 Rn = lim [f(x1)Aæ + f(x2)Ax+.+f(xn)Aæ] n00 n00 (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 n i=1 64 В. lim i i=1 1 С. lim n-00 n6 64 D. lim noo n6 (b) Evaluate the limit that is the correct answer to part (a). You may find the following formula helpful: n2(n + 1) (2n² + 2n – 1). 15 + 25 + 35+...+n³ = 12 Value of limit =