Apply the divergence test and state what it tells you aboutthe series. ■5. (a)∑k=1k2 + k + 32k2 + 1
Question
Solution 1
To apply the divergence test to the series ∑(k^2 + k + 3)/(2k^2 + 1), we need to check the behavior of the terms as k approaches infinity.
Step 1: Take the limit of the nth term as n approaches infinity. lim(n→∞) [(n^2 + n + 3)/(2n^2 + 1)]
Step 2: Simplify the expression inside the limit. lim(n→∞) Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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