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

Question

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

The given limit is a Riemann sum for a definite integral over the interval [1, 3]. The function to be integrated is f(x) = x/(x^2 + 8).

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 = (b - a)/n is the width of each su Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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