Use appropriate tests to determine if the following series c

Use appropriate tests to determine if the following series converge or diverge: sigma^infinity_n = 1 1 + 5^n/1 + 6^n sigma^infinity_n = 1(-1)^n +1 n/n^2 + 3 sigma^infinity_n = 2 (-1)^n + 1 log(n)/log(n^2) For each of the series that coverge, determine whether it is absolutely or conditionally convergent. You should state the tests that you use and justify why they are appropriate in each case.

Solution

II convergent

III divervent

 Use appropriate tests to determine if the following series converge or diverge: sigma^infinity_n = 1 1 + 5^n/1 + 6^n sigma^infinity_n = 1(-1)^n +1 n/n^2 + 3 si

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