Mathematics Homework Solutions
Problem
#11686

The Convergence of Darbox Sums and Riemann Sums

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


Solution Summary

The convergence of Darbox Sums and Riemann Sums are investigated.

Solution
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