Consider the definite integral ∫^3_1 (16 - x2)dx. Let P be the partition of [1, 3] into n equal subintervals.  Determine expressions for L(P, f) and U(P, f) and find there values for n = 4 and n = 40. Show the limit of l(P, f) an U(P, f) as n → ∞.

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