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    The Convergence of Darbox Sums and Riemann Sums

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    1. Let k >= 1 be an integer, and define Cn = SIGMA (1/(n+i)) as i=1 to kn

    (a)Prove that {Cn} converges by showing it is monotonic and bounded.

    (b)Evaluate LIMIT (Cn) as n approach to the infinity

    © BrainMass Inc. brainmass.com November 29, 2021, 11:57 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/convergence-darbox-sums-riemann-sums-11686

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    Let be an integer, define .
    (a) Prove that converges by showing it is monotonic and bounded
    (b) Evaluate
    Proof:
    (a) Since is a summation of positive number, it is easy ...

    Solution Summary

    The convergence of Darbox Sums and Riemann Sums are investigated. The expert evaluates a LIMIT to approach the infinity.

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