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    Convergent or divergent series

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    Use the ratio a_n/a_(n+1) to determine if the following sequences are monotonic increasing, decreasing or neither.

    Use the derivative test to determine if the following sequences are monotonic increasing, decreasing or neither.

    Use the nth term test to stae if the series converges, diverges, or cannot tell.

    Use the integral test to determine if the series converges or diverges

    Use the comparison test test to determine if the series converges or diverges

    Use the limit comparison test with the dominant term concept to determine if the series converges or diverges

    © BrainMass Inc. brainmass.com October 10, 2019, 8:18 am ad1c9bdddf
    https://brainmass.com/math/functional-analysis/convergent-divergent-series-618461

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    1. Use the ratio to determine if the following sequences are monotonic increasing, decreasing or neither.

    Solution:

    We can't say whether the term is less than 1 or greater than 1.
    Thus the given series neither increasing nor decreasing.

    2. Use the derivative test to determine if the following sequences are monotonic increasing, decreasing or neither.
    ...

    Solution Summary

    This posting explains different methods of testing convergent or divergent series.

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