For each of the following series, indicate whether the integral test can be used

Question

For each of the following series, indicate whether the integral test can be used to determine its convergence or not, and if not, why. Sigma^infinity_n = 1 cos(n pi)/n^2 Can the integral test be used to test convergence? no, because the terms in the series do not decrease in magnitude no, because the terms in the series are not all positive for n greaterthanorequalto c, for some c > 0 no, because the series is not a geometric series no, because the terms in the series are not recursively defined no, because the terms in the series are not defined for all n yes Sigma^infinity_n = 1 ln (1.1n) + 5n/n Can the integral test be used to test convergence? no, because the terms in the series do not decrease in magnitude no, because the terms in the series are not all positive for n greaterthanorequalto c, for some c > 0 no, because the series is not a geometric series no, because the terms in the series are not recursively defined no, because the terms in the series are not defined for all n yes

Explanation / Answer

Both the options are correct in the given question.

The integral test can be used for the given series.

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