test to determine whether the following vergent. 5 iv) $\sum_{k=1}^{\infty} \frac{\cos^2 k}{k^2+1}$ +4k +3 1 2 1 Rep
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The series is given by: $$ \sum_{k=1}^{\infty} \frac{\cos^2 k}{k^2+1} $$ Step 2: We can use the Comparison Test to determine the convergence or divergence of the series. We know that for any real number $k$, $0 \le \cos^2 k \le 1$. Step 3: Using this inequality, Show more…
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