Explore BrainMass

Series Convergence: Two-sided Estimator

Please see the attached file for the fully formatted problems.

A simple technique to estimate values of the finite sums of reciprocals to natural numbers raised to positive power and to define if corresponding infinite series converge.

Deduce two-sided estimator for the sums of the positive powers (p) of reciprocals to natural numbers
to prove convergence of corresponding series for p more than 1, and divergence of the series for [EQUATION].


Solution Summary

A two-sided estimator is used to prove divergence of a summation.
The solution is detailed and well presented.