Express the limit as a definite integral on the given interval.lim n→∞ ni = 1[2(xi*)3 − 8xi*]Δx,    [2, 4]

Question

Express the limit as a definite integral on the given interval.lim n→∞ ni = 1[2(xi*)3 − 8xi*]Δx,    [2, 4]
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Solution 1

The given limit is the definition of a Riemann sum for a definite integral. The function to be integrated is f(x) = 2x^3 - 8x, and the interval of integration is [2, 4].

The Riemann sum is given by:

lim n→∞ Σ (from i=1 to n) f(xi*) Δx

where xi* is a sample point in the i-th subinterval, and Δx = Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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