# positive number alpha

Fix a positive number alpha and consider the series:

sum_{from k=1 to infinity} 1/([k+1][ln(k+1)]^alpha)

For what values of alpha does this series converge? Please explain how the values of alpha were obtained.

Please see attached document for the problem in equation form.

© BrainMass Inc. brainmass.com October 10, 2019, 12:36 am ad1c9bdddfhttps://brainmass.com/math/basic-calculus/series-convergence-determining-alpha-values-298303

#### Solution Summary

Provides steps necessary to find alpha values.

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