2. Determine if the following series converge or diverge.
Justify your answers, citing any appropriate tests...
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2. Determine if the following series converge or diverge.Justify your answers, citing any appropriate tests for convergencethat you use.
(a) sigma^infinity_n=1 n + 2/(n^5/3 + n + 5 )
(b) sigma^infinity_n=1 (1 ? 1/ n)^n ^2
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Solution a Taking LCM we getApplying Limit Comparison Test wherewhere and will both diverge or converge together In our caseApplying Limit Comparison Test 1 we getAs we can see the degree of numerator and denominator terms isthe same and therefore the limit when gets very
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