Use the function y 2x from x 0 to x 1 and n equal subintervals with the

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Use the function y 2x from x 0 to x 1 and n equal subintervals with the function evaluated at the left-hand endpoint of each subinterval.

(a) Find a formula for the sum of the areas of the n rectangles (call this S). Then find

(b) S(10).

(c) S(100).

(d) S(1000).

(e) lim n →∞

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