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(1 point) Definition: The AREA A of the region that lies under the graph of the...

(1 point) Definition: The AREA A of the region that lies under the graph of the continuous function f is the limit of the sum

(1 point) Definition: The AREA A of the region 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(x)Ar + f(x2)Ax+... +f(x,y)Ax] 100 Wspacelin (a) Use the above definition to determine which of the following expressions represents the area under the graph of f(x) = x3 from x = 0 to x = 2. 64 A. lim 7100 11 i= B. lim 1100 64 WTWTWTEWI C. lim 00 21 D. lim 11-06 (b) Evaluate the limit that is the correct answer to part (a). You may find the following formula helpful: n-(n + 1 + 2 + 3 +...+ = + 1)(2n2 + 2n-1) 12 n i=1 Value of limit
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501- From the given data we have in Lim Lim Rn = As [H41) AX +F(+2) Ax + ...... +f(xn) 4x] n. a use the above definition to d글 3 . notio+20-7) 워 ( 7 (n+i) (an+n-1) 임기 - 64 76 n 1 0 n (+ (+ 음 - ) U 6 에 Lin n n6 GI + (부 + 물 +1 요 ) t 2. 64 ( (2 lim 래 nO

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